eMLR - model fitting

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Last updated: 2021-08-01

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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R Markdown file: up-to-date

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Seed: set.seed(20200707)

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Session information: recorded

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File paths: relative

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Repository version: e250daf

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Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

---

These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_model_fitting.Rmd) and HTML (docs/eMLR_model_fitting.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File	Version	Author	Date	Message
html	e51cfa2	Donghe-Zhu	2021-08-01	Build site.
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html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
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html	9baa3b2	Donghe-Zhu	2021-06-06	debug
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, oxygen, aou, nitrate, silicate, phosphate_star

# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

i_basin <- unique(GLODAP$basin)[1]
i_era   <- unique(GLODAP$era)[1]

# subset one basin and era for fitting
GLODAP_basin_era <- GLODAP %>%
  filter(basin == i_basin, era == i_era)

i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
print(i_gamma_slab)

# subset one gamma slab
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
  filter(gamma_slab == i_gamma_slab)

# fit the full linear model, i.e. all predictor combinations
lm_full <- lm(paste(
  params_local$MLR_target,
  paste(params_local$MLR_predictors, collapse = " + "),
  sep = " ~ "
),
data = GLODAP_basin_era_slab)

# fit linear models for all possible predictor combinations
# unfortunately, this functions does not provide model coefficients (yet)
lm_all <- ols_step_all_possible(lm_full)

# convert to tibble
lm_all <- as_tibble(lm_all)

# extract relevant columns and format model formula
lm_all <- lm_all %>% 
  select(n, predictors) %>%
  mutate(lm_coeff = str_replace_all(predictors, " ", " + "),
         lm_coeff = paste(params_local$MLR_target, "~", lm_coeff))

# remove certain predictor combinations
lm_rm_si <- lm_all %>%
  filter(str_detect(lm_coeff, "silicate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
  filter(str_detect(lm_coeff_filter, "silicate") &
           str_detect(lm_coeff_filter, "nitrate")) %>%
  select(-lm_coeff_filter)

lm_rm_ph <- lm_all %>%
  filter(str_detect(lm_coeff, "phosphate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  filter(str_detect(lm_coeff_filter, "phosphate") &
           str_detect(lm_coeff_filter, "oxygen")) %>%
  select(-lm_coeff_filter)

lm_rm <- bind_rows(lm_rm_ph, lm_rm_si) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

# remove temp sal predictor combination
# lm_all <- lm_all %>%
# # filter(!(
# #   str_detect(lm_coeff, "temp") &
# #     str_detect(lm_coeff, "phosphate_star")
# # )) %>%
# mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
# filter(!(str_detect(lm_coeff_filter, "nitrate") &
#            str_detect(lm_coeff_filter, "phosphate")
# )) %>%
# filter(!(
#   str_detect(lm_coeff_filter, "temp") &
#     str_detect(lm_coeff_filter, "sal")
# )) %>%
# # filter(!(
# #   str_detect(lm_coeff_filter, "oxygen") &
# #     str_detect(lm_coeff_filter, "aou")
# # )) %>%
# select(-lm_coeff_filter)

# remove helper objects
rm(
  i_gamma_slab,
  i_era,
  i_basin,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  lm_full,
  lm_rm_ph,
  lm_rm_si,
  lm_rm_o2,
  lm_rm
)

# lm_full <- lm(paste(
#   params_local$MLR_target,
#   paste(params_local$MLR_predictors, collapse = " + "),
#   sep = " ~ "
# ),
# data = GLODAP_basin_era_slab)
# 
# lm_full <-
#   loess(
#     cstar_tref ~ sal + temp + aou + phosphate,
#     span = 0.1,
#     degree = 1,
#     data = GLODAP_basin_era_slab
#   )

3 Apply predictor threshold

Select combinations with a total number of predictors in the range:

• Minimum: 2
  
• Maximum: 5

lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

• 112

4 Fit all models

Individual linear regression models were fitted for the chosen target variable:

• cstar_tref

as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. Model diagnostics, such as the root mean squared error (RMSE), were calculated for each fitted model.

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[100]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                     simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # calculate max VIF
          if (is.na(max(i_lm_fit$coefficients))) {
            i_vif_max <- as.double("NA")
          } else{
            i_vif_max <- max(vif(i_lm_fit))
          }
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              nr_obs = i_nr_obs,
              rmse = i_rmse,
              aic = i_aic,
              vif_max = i_vif_max,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_nr_obs,
  i_predictors,
  i_aic,
  i_vif_max,
  i_n_predictors,
  i_resid_max
)

5 Prepare coeffcients

Coefficients are prepared for the mapping of Cant and the chosen target variable.

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

# lm_all_fitted <-
#   read_csv(paste(path_version_data,
#                   "lm_all_fitted.csv",
#                   sep = ""))

# select relevant columns
lm_all_fitted <- lm_all_fitted %>%
  select(
    basin,
    gamma_slab,
    era,
    model,
    nr_obs,
    n_predictors,
    term,
    estimate,
    rmse,
    aic,
    vif_max,
    resid_max,
    na_predictor,
    cor_max
  )

# set coefficient to zero if not fitted (=NA)
lm_all_fitted <- lm_all_fitted %>%
  mutate(estimate = if_else(is.na(estimate), 0, estimate))

# Prepare model coefficients for mapping of target variable
lm_all_fitted_wide <- lm_all_fitted %>%
  pivot_wider(
    values_from = estimate,
    names_from = term,
    names_prefix = "coeff_",
    values_fill = 0
  )

5.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

• 10

The criterion used to select the best models was:

• rmse

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

Please note, that currently the lm() function produces NAs for some predictors. It is not yet entirely clear when this happens, but presumably it is caused by some form of collinearity between predictors, such that including another predictor does not help to explain the target variable any better. The issues also expresses as exactly identical rmse values of different models. As an interim solution, models with fitted NA predictors were not included.

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)

5.3 VIF threshold

To avoid multicollinearity among predictors, models were excluded with a VIF above:

• 1000

After removing models affected by multicollinearity, the targeted number of MLRs (10) was undercut in following fitting units:

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(vif_max <= params_local$vif_max)

# lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
#   group_by(era, basin, gamma_slab) %>% 
#   count() 
#   filter(n < params_local$MLR_number)

# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide %>%
  select(basin, gamma_slab, n_predictors, model, era, nr_obs, rmse, aic, vif_max, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    rmse_lag = lag(rmse),
    aic_sum = aic + lag(aic),
    vif_max_sum = vif_max + lag(vif_max)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na() %>%
  filter(eras != "1982-1999 --> 2010-2019",
         eras != "1982-1999 --> 2008-2019")

# filter tripairs
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  mutate(rmse = round(rmse, digits = 7), rmse_lag = round(rmse_lag, digits = 7)) %>%
  group_by(basin, gamma_slab, eras, rmse) %>%
  sample_n(1) %>%
  ungroup()

# calculate rank for each era
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  group_by(eras, basin, gamma_slab) %>% 
  mutate(rank = rank(rmse, ties.method="first"),
         rank_sum = rank + rank(rmse_lag, ties.method="first")) %>%
  ungroup()

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, aic_sum)
} else if (params_local$MLR_criterion == "rmse") {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, rmse_sum)
} else {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rank_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, rank_sum)
}

5.4 RMSE tables

5.4.1 per model

lm_best %>%
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	312	4.5706625	1847.684	416.941486	15.029800	1982-1999 –> 2000-2009	8.497871	3.9272082	4297.406	663.558595	1	3
Atlantic	(-Inf,26]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	312	4.7137642	1866.921	425.239793	13.814871	1982-1999 –> 2000-2009	8.629890	3.9161254	4314.173	686.339726	4	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	312	4.6564326	1859.285	334.329289	14.355395	1982-1999 –> 2000-2009	8.706877	4.0504440	4336.012	471.934424	2	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	312	4.7775152	1875.304	370.073632	12.719290	1982-1999 –> 2000-2009	8.887335	4.1098197	4364.750	508.591861	5	9
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	312	4.6837639	1860.937	334.321328	14.988833	1982-1999 –> 2000-2009	8.984781	4.3010169	4388.126	461.453212	3	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	312	4.9496723	1897.394	168.549030	14.883828	1982-1999 –> 2000-2009	9.093882	4.1442102	4394.123	413.748437	7	12
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	312	4.8394065	1881.336	352.912212	13.075010	1982-1999 –> 2000-2009	9.103759	4.2643521	4401.042	484.580955	6	13
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	312	4.9497015	1895.398	145.038206	14.865253	1982-1999 –> 2000-2009	9.459386	4.5096844	4463.993	299.394315	8	17
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	312	5.0717659	1910.600	93.700688	14.756284	1982-1999 –> 2000-2009	9.729486	4.6577200	4507.424	225.475476	9	21
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	312	5.5329795	1966.911	416.906603	15.644308	1982-1999 –> 2000-2009	9.762136	4.2291568	4481.374	692.396181	12	18
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	485	4.7875178	2909.402	222.738955	23.755534	2000-2009 –> 2010-2019	9.358180	4.5706625	4757.086	639.680441	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	485	4.8180345	2915.565	230.733966	23.373837	2000-2009 –> 2010-2019	9.531799	4.7137642	4782.487	655.973759	2	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	485	4.9431507	2940.433	280.800043	27.376029	2000-2009 –> 2010-2019	9.892823	4.9496723	4837.827	449.349073	3	10
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	485	4.9454537	2938.885	156.925090	26.991377	2000-2009 –> 2010-2019	9.895155	4.9497015	4834.283	301.963296	4	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	485	5.5166479	3046.908	252.397077	39.119346	2000-2009 –> 2010-2019	10.173081	4.6564326	4906.193	586.726366	6	8
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	485	5.5166658	3044.911	182.800849	39.160167	2000-2009 –> 2010-2019	10.200430	4.6837639	4905.848	517.122177	7	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	485	5.5300934	3049.269	242.219274	38.878222	2000-2009 –> 2010-2019	10.307609	4.7775152	4924.573	612.292906	8	13
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	485	5.5317398	3047.558	188.992929	38.556815	2000-2009 –> 2010-2019	10.371146	4.8394065	4928.894	541.905141	9	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	485	5.6278010	3064.258	212.842136	41.024368	2000-2009 –> 2010-2019	10.699567	5.0717659	4974.857	306.542824	10	19
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	485	5.6341132	3063.345	113.255599	41.923020	2000-2009 –> 2010-2019	10.706116	5.0720029	4971.974	188.113138	11	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	269	5.7512315	1718.574	279.165223	17.035149	1982-1999 –> 2000-2009	12.574203	6.8229711	3949.825	330.109805	4	7
Atlantic	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	269	5.9332894	1735.340	300.142661	17.309170	1982-1999 –> 2000-2009	12.783946	6.8506564	3969.280	452.074119	8	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	269	6.0013355	1741.475	285.898136	16.996689	1982-1999 –> 2000-2009	12.806154	6.8048185	3970.957	334.238326	10	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	269	6.0883115	1749.216	284.112488	16.900443	1982-1999 –> 2000-2009	12.847066	6.7587542	3974.188	333.561390	13	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	269	5.6218027	1706.328	118.088509	14.567048	1982-1999 –> 2000-2009	13.033494	7.4116908	3992.534	143.267947	2	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	269	5.6084134	1705.045	392.525743	14.799651	1982-1999 –> 2000-2009	13.047935	7.4395219	3993.740	956.547279	1	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	269	5.6440981	1708.457	111.577551	14.359101	1982-1999 –> 2000-2009	13.048918	7.4048196	3994.048	136.442988	3	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	269	6.5059279	1784.909	242.924434	16.513451	1982-1999 –> 2000-2009	13.441964	6.9360359	4027.073	290.820361	30	35
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	269	6.0988525	1750.147	41.573756	19.108470	1982-1999 –> 2000-2009	13.599503	7.5006509	4044.275	63.360122	15	28
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	269	6.0986904	1750.133	41.387635	19.210289	1982-1999 –> 2000-2009	13.607991	7.5093005	4045.026	62.911715	14	28
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	400	4.9980989	2436.397	29.261469	12.606887	2000-2009 –> 2010-2019	10.749330	5.7512315	4154.971	308.426692	4	8
Atlantic	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	400	4.9698175	2431.857	130.927931	11.827932	2000-2009 –> 2010-2019	10.903107	5.9332894	4167.198	431.070592	3	11
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	400	4.9630197	2430.762	27.377278	12.167085	2000-2009 –> 2010-2019	10.964355	6.0013355	4172.238	313.275413	1	11
Atlantic	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	400	4.9646858	2431.031	27.795269	12.738221	2000-2009 –> 2010-2019	11.052997	6.0883115	4180.247	311.907757	2	15
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	400	5.7227002	2544.703	424.384202	14.895954	2000-2009 –> 2010-2019	11.331114	5.6084134	4249.748	816.909945	7	8
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	400	5.7246305	2544.973	20.530209	15.336120	2000-2009 –> 2010-2019	11.346433	5.6218027	4251.301	138.618718	8	10
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	400	5.7280477	2545.451	21.443748	15.452308	2000-2009 –> 2010-2019	11.372146	5.6440981	4253.908	133.021299	9	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	400	5.2296363	2472.624	25.285147	13.518905	2000-2009 –> 2010-2019	11.735564	6.5059279	4257.533	268.209581	5	34
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	400	5.8016403	2553.663	111.124564	15.042338	2000-2009 –> 2010-2019	11.941079	6.1394383	4305.379	391.693580	10	26
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	400	5.8570849	2563.272	17.569809	21.752229	2000-2009 –> 2010-2019	11.955937	6.0988525	4313.420	59.143565	14	28
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	200	5.4546682	1260.164	202.277957	14.557714	1982-1999 –> 2000-2009	9.965218	4.5105499	3509.137	240.596018	1	4
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	200	5.4873590	1262.554	141.749579	18.937585	1982-1999 –> 2000-2009	10.010946	4.5235871	3513.733	168.842107	3	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	200	5.4869407	1262.524	144.389950	18.926246	1982-1999 –> 2000-2009	10.014725	4.5277839	3514.411	172.624306	2	11
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	200	5.6234483	1272.353	223.761652	15.981369	1982-1999 –> 2000-2009	10.142105	4.5186572	3522.699	262.480872	5	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	200	5.6037578	1268.950	144.129054	18.741902	1982-1999 –> 2000-2009	10.171432	4.5676744	3525.539	171.011469	4	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	200	5.7361101	1280.288	213.097949	11.756899	1982-1999 –> 2000-2009	10.335434	4.5993234	3544.152	260.216939	6	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	200	5.7461498	1280.987	210.803686	11.665901	1982-1999 –> 2000-2009	10.343746	4.5975958	3544.564	257.903654	7	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	200	5.9314345	1293.682	29.692018	20.378048	1982-1999 –> 2000-2009	10.431215	4.4997801	3540.829	80.715293	12	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	200	5.8432308	1285.689	130.119099	18.747150	1982-1999 –> 2000-2009	10.433822	4.5905910	3546.101	155.334284	11	24
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	200	5.9337239	1293.836	29.636168	20.470486	1982-1999 –> 2000-2009	10.438645	4.5049207	3541.855	80.652586	13	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	297	5.4444410	1863.439	21.205470	15.509633	2000-2009 –> 2010-2019	10.899109	5.4546682	3123.603	223.483428	6	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	297	5.4203849	1860.809	34.386769	15.725465	2000-2009 –> 2010-2019	10.907744	5.4873590	3123.363	176.136349	3	6
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	297	5.4228907	1861.083	31.224928	15.692268	2000-2009 –> 2010-2019	10.909831	5.4869407	3123.607	175.614878	4	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	297	5.4770226	1864.983	19.337478	15.788241	2000-2009 –> 2010-2019	11.080780	5.6037578	3133.933	163.466532	11	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	297	5.4679293	1865.996	20.259583	15.778289	2000-2009 –> 2010-2019	11.091378	5.6234483	3138.350	244.021235	10	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	297	5.4134845	1860.052	22.759461	15.904998	2000-2009 –> 2010-2019	11.149595	5.7361101	3140.340	235.857410	2	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	297	5.4101228	1859.683	23.713233	15.941690	2000-2009 –> 2010-2019	11.156273	5.7461498	3140.670	234.516919	1	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	297	5.4303841	1861.903	459.603300	15.724417	2000-2009 –> 2010-2019	11.156482	5.7260980	3141.492	1458.392685	5	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	297	5.4611963	1863.264	307.137447	15.977764	2000-2009 –> 2010-2019	11.231034	5.7698374	3143.897	928.388798	9	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	297	5.4484522	1861.876	21.431277	16.255454	2000-2009 –> 2010-2019	11.243166	5.7947138	3144.230	151.869563	8	18
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	491	5.5930324	3097.932	119.669233	14.853906	1982-1999 –> 2000-2009	10.313643	4.7206109	7306.810	255.304162	3	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	491	5.6335012	3105.012	120.396687	14.733369	1982-1999 –> 2000-2009	10.364812	4.7313113	7317.087	255.293432	5	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	491	5.5316042	3087.087	118.142097	13.251884	1982-1999 –> 2000-2009	10.392886	4.8612822	7337.427	150.326495	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	491	5.5654131	3093.071	119.600994	13.190867	1982-1999 –> 2000-2009	10.432229	4.8668159	7345.017	151.801576	2	7
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	491	5.6105860	3099.009	106.306287	13.507275	1982-1999 –> 2000-2009	10.474457	4.8638710	7348.101	136.487606	4	8
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	491	5.6508244	3106.027	106.448810	13.834148	1982-1999 –> 2000-2009	10.519815	4.8689902	7356.604	136.598543	6	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	491	5.6783017	3112.790	128.446524	12.928508	1982-1999 –> 2000-2009	10.730002	5.0517000	7417.383	183.804124	7	27
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	491	5.7214435	3118.223	116.449792	13.448609	1982-1999 –> 2000-2009	10.792851	5.0714080	7426.313	148.365720	8	29
Atlantic	(26.75,27]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	491	5.8440024	3141.036	133.235433	13.698641	1982-1999 –> 2000-2009	10.952639	5.1086362	7461.454	186.967905	9	34
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	491	6.0346948	3172.567	97.507754	16.981958	1982-1999 –> 2000-2009	10.963673	4.9289786	7442.435	198.230157	12	23
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	542	5.1251243	3323.553	57.296429	16.254590	2000-2009 –> 2010-2019	10.718157	5.5930324	6421.485	176.965662	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	542	5.1298572	3324.554	57.040112	16.340616	2000-2009 –> 2010-2019	10.763358	5.6335012	6429.565	177.436800	2	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	542	5.2646591	3352.671	22.907937	17.477127	2000-2009 –> 2010-2019	10.796263	5.5316042	6439.758	141.050034	8	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	542	5.2664012	3353.030	23.734404	17.513246	2000-2009 –> 2010-2019	10.831814	5.5654131	6446.100	143.335398	11	13
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	542	5.2658504	3350.916	21.427168	17.548856	2000-2009 –> 2010-2019	10.876436	5.6105860	6449.925	127.733456	10	14
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	542	5.2674704	3351.250	18.932663	17.568934	2000-2009 –> 2010-2019	10.918295	5.6508244	6457.276	125.381473	13	19
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	542	5.2815658	3356.147	31.652459	18.641488	2000-2009 –> 2010-2019	10.959867	5.6783017	6468.937	160.098983	15	22
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	542	5.3010290	3358.134	21.526221	18.468739	2000-2009 –> 2010-2019	11.022472	5.7214435	6476.357	137.976013	16	24
Atlantic	(26.75,27]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	542	5.3064129	3361.234	31.069183	18.949305	2000-2009 –> 2010-2019	11.150415	5.8440024	6502.270	164.304616	17	26
Atlantic	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	542	5.3181009	3361.619	19.036050	18.782335	2000-2009 –> 2010-2019	11.249612	5.9315112	6515.251	128.408912	18	28
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	813	5.0620594	4958.198	133.107537	16.154467	1982-1999 –> 2000-2009	8.661570	3.5995101	12418.070	262.852833	1	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	813	5.1910360	4999.108	213.642202	19.241373	1982-1999 –> 2000-2009	8.738529	3.5474928	12418.833	360.748296	3	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	813	5.1587161	4988.952	132.664858	15.852121	1982-1999 –> 2000-2009	8.790570	3.6318542	12473.497	261.539103	2	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	813	5.2979254	5032.249	213.688055	18.813699	1982-1999 –> 2000-2009	8.884746	3.5868206	12482.381	359.930235	6	8
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	813	5.2560318	5017.340	90.094119	16.723722	1982-1999 –> 2000-2009	8.894184	3.6381524	12504.663	168.494955	4	9
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	813	5.3541842	5047.424	105.181827	16.380572	1982-1999 –> 2000-2009	9.026057	3.6718726	12560.192	183.673869	8	14
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	813	5.2577642	5017.876	711.010060	14.381578	1982-1999 –> 2000-2009	9.475709	4.2179449	12913.030	1212.344850	5	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	813	5.3436068	5046.209	63.096497	13.436295	1982-1999 –> 2000-2009	9.513467	4.1698605	12911.741	105.516682	7	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	813	5.4152057	5067.851	63.931142	13.833542	1982-1999 –> 2000-2009	9.596214	4.1810081	12940.747	106.468099	10	18
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	813	5.3865327	5057.219	62.760471	13.200432	1982-1999 –> 2000-2009	9.619464	4.2329318	12962.155	89.805187	9	19
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1113	4.7228769	6628.240	128.176223	14.730146	2000-2009 –> 2010-2019	9.784936	5.0620594	11586.438	261.283760	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	1113	4.7388584	6635.760	126.708191	14.836754	2000-2009 –> 2010-2019	9.897574	5.1587161	11624.712	259.373049	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1113	4.7859383	6657.766	209.068699	15.137954	2000-2009 –> 2010-2019	9.976974	5.1910360	11656.873	422.710900	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1113	4.7981373	6661.432	99.817733	15.225264	2000-2009 –> 2010-2019	10.054169	5.2560318	11678.772	189.911852	4	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	1113	4.8063330	6667.231	207.544802	15.275172	2000-2009 –> 2010-2019	10.104258	5.2979254	11699.480	421.232857	5	11
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1113	4.8867302	6702.158	342.377641	15.333931	2000-2009 –> 2010-2019	10.144494	5.2577642	11720.034	1053.387701	17	22
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	1113	4.8151536	6669.313	112.228473	15.335524	2000-2009 –> 2010-2019	10.169338	5.3541842	11716.737	217.410299	6	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1113	4.8412691	6683.353	29.466957	15.365712	2000-2009 –> 2010-2019	10.184876	5.3436068	11729.562	92.563454	9	16
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1113	4.8697236	6694.398	12.810226	15.354013	2000-2009 –> 2010-2019	10.256256	5.3865327	11751.616	75.570697	15	24
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1113	4.8466393	6685.821	29.525434	15.424446	2000-2009 –> 2010-2019	10.261845	5.4152057	11753.672	93.456575	13	23
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1634	4.0669232	9235.725	694.203629	11.358508	1982-1999 –> 2000-2009	7.229202	3.1622791	23653.302	1440.764326	1	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1634	4.2422601	9373.665	107.382624	12.156606	1982-1999 –> 2000-2009	7.247382	3.0051216	23505.579	197.000114	3	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1634	4.0995780	9259.860	573.622492	11.156072	1982-1999 –> 2000-2009	7.263573	3.1639946	23678.477	831.046508	2	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1634	4.3420176	9449.623	102.677167	17.230693	1982-1999 –> 2000-2009	7.393313	3.0512951	23666.987	151.464145	6	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1634	4.2699380	9394.918	63.502460	12.108251	1982-1999 –> 2000-2009	7.434902	3.1649644	23817.252	100.364220	4	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	1634	4.4300463	9515.215	104.941883	12.891639	1982-1999 –> 2000-2009	7.458210	3.0281635	23689.934	206.454262	8	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	1634	4.3195151	9430.643	58.098402	11.997899	1982-1999 –> 2000-2009	7.485241	3.1657263	23852.326	76.035643	5	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1634	4.4042177	9494.106	102.528878	23.457718	1982-1999 –> 2000-2009	7.553397	3.1491792	23886.420	119.773264	7	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1634	4.4372457	9520.522	62.913207	12.514036	1982-1999 –> 2000-2009	7.622021	3.1847757	23977.825	104.277942	9	21
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1634	4.4709044	9543.218	56.230728	12.393760	1982-1999 –> 2000-2009	7.656334	3.1854294	23999.671	74.245857	10	23
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2410	4.3955429	13989.733	503.389571	13.715827	2000-2009 –> 2010-2019	8.462466	4.0669232	23225.458	1197.593200	5	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2410	4.4087789	14002.225	192.386400	13.401660	2000-2009 –> 2010-2019	8.508357	4.0995780	23262.085	766.008892	9	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2410	4.3831746	13976.151	83.178228	15.476522	2000-2009 –> 2010-2019	8.625435	4.2422601	23349.816	190.560852	3	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2410	4.4162129	14012.345	23.927778	13.358552	2000-2009 –> 2010-2019	8.686151	4.2699380	23407.263	87.430239	12	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2410	4.4162155	14010.348	10.049320	13.353739	2000-2009 –> 2010-2019	8.735731	4.3195151	23440.991	68.147722	13	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2410	4.3937446	13987.760	47.255785	14.385754	2000-2009 –> 2010-2019	8.735762	4.3420176	23437.384	149.932952	4	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2410	4.4124342	14006.219	8.422782	13.442863	2000-2009 –> 2010-2019	8.816652	4.4042177	23500.325	110.951660	11	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	2410	4.4087749	14004.221	94.084379	16.125596	2000-2009 –> 2010-2019	8.838821	4.4300463	23519.436	199.026261	8	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2410	4.4447731	14043.417	26.446948	13.418057	2000-2009 –> 2010-2019	8.882019	4.4372457	23563.938	89.360155	17	26
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2410	4.4448826	14041.535	11.429581	13.386761	2000-2009 –> 2010-2019	8.915787	4.4709044	23584.753	67.660309	18	28
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3091	5.3564812	19161.174	207.326882	31.273325	1982-1999 –> 2000-2009	8.796426	3.4399445	37867.415	640.672032	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3091	5.4248899	19239.625	20.347496	31.484499	1982-1999 –> 2000-2009	8.906333	3.4814430	38030.311	44.063923	4	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3091	5.5086457	19334.341	41.811413	34.639066	1982-1999 –> 2000-2009	8.921120	3.4124744	37984.122	92.595898	7	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	3091	5.3647598	19170.721	140.006120	32.181381	1982-1999 –> 2000-2009	8.958153	3.5933933	38184.287	914.620548	2	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3091	5.5290683	19357.217	24.480059	31.643746	1982-1999 –> 2000-2009	9.033220	3.5041520	38193.688	50.925930	8	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3091	5.4314477	19247.094	48.048860	32.311854	1982-1999 –> 2000-2009	9.056340	3.6248920	38322.119	95.317913	5	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3091	5.4172776	19228.944	119.160615	31.064925	1982-1999 –> 2000-2009	9.059734	3.6424562	38336.009	296.655381	3	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3091	5.4728786	19292.071	15.772002	31.136764	1982-1999 –> 2000-2009	9.117848	3.6449693	38403.992	30.753108	6	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	3091	5.5421807	19371.861	45.222783	32.112325	1982-1999 –> 2000-2009	9.191927	3.6497465	38495.006	99.170339	9	27
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	3091	5.6163190	19452.010	17.238801	33.732898	1982-1999 –> 2000-2009	9.212238	3.5959187	38468.523	28.902533	13	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3609	5.0581495	21956.281	34.683520	43.035913	2000-2009 –> 2010-2019	10.566795	5.5086457	41290.622	76.494933	1	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3609	5.4339535	22473.568	327.188654	28.395866	2000-2009 –> 2010-2019	10.790435	5.3564812	41634.742	534.515536	10	11
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3609	5.5192415	22585.978	17.087774	28.028948	2000-2009 –> 2010-2019	10.944131	5.4248899	41825.603	37.435270	11	15
Atlantic	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	3609	5.6224838	22719.750	615.287599	30.628486	2000-2009 –> 2010-2019	10.987244	5.3647598	41890.470	755.293718	13	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3609	5.6277280	22724.479	124.669825	29.525247	2000-2009 –> 2010-2019	11.045006	5.4172776	41953.423	243.830440	15	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3609	5.6248349	22722.767	34.066797	33.150022	2000-2009 –> 2010-2019	11.056283	5.4314477	41969.861	82.115657	14	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3609	5.5483761	22623.979	19.092254	27.903526	2000-2009 –> 2010-2019	11.077444	5.5290683	41981.197	43.572313	12	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3609	5.6663807	22773.885	9.051959	29.464934	2000-2009 –> 2010-2019	11.139259	5.4728786	42065.955	24.823962	19	25
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	3609	5.0654129	21966.639	33.697032	44.233407	2000-2009 –> 2010-2019	11.140702	6.0752886	41906.264	78.983498	2	30
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	3609	5.6550386	22761.422	38.022029	33.156363	2000-2009 –> 2010-2019	11.197219	5.5421807	42133.283	83.244812	17	26
Atlantic	(27.75,27.85]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	1443	3.6720424	7863.015	66.372033	34.169747	1982-1999 –> 2000-2009	7.028463	3.3564207	14209.607	590.682974	1	3
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1443	3.7348574	7911.967	66.516278	34.814391	1982-1999 –> 2000-2009	7.134022	3.3991649	14289.030	117.764302	2	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1443	3.7710458	7939.796	72.372279	35.523348	1982-1999 –> 2000-2009	7.250446	3.4794007	14373.039	142.861653	3	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1443	3.7710587	7937.805	53.342188	35.516936	1982-1999 –> 2000-2009	7.253440	3.4823816	14371.111	65.010268	4	15
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	1443	3.9436515	8068.958	60.073798	35.714160	1982-1999 –> 2000-2009	7.372759	3.4291079	14467.140	111.964294	11	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	1443	3.8631280	8009.420	76.161754	39.448212	1982-1999 –> 2000-2009	7.440194	3.5770659	14509.323	598.948119	5	18
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1443	4.0909194	8174.766	97.012100	33.205957	1982-1999 –> 2000-2009	7.440681	3.3497616	14516.575	466.960974	14	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	1443	3.8702038	8012.701	62.489223	39.281611	1982-1999 –> 2000-2009	7.453434	3.5832298	14514.750	585.270531	6	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1443	3.8864432	8026.785	71.132765	39.410928	1982-1999 –> 2000-2009	7.471875	3.5854318	14532.314	153.996458	7	22
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1443	3.8922244	8029.075	66.222268	39.287410	1982-1999 –> 2000-2009	7.477948	3.5857234	14532.799	114.449606	8	24
Atlantic	(27.75,27.85]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	1517	5.4088256	9440.549	322.280673	23.313746	2000-2009 –> 2010-2019	9.080868	3.6720424	17303.564	388.652706	2	3
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1517	5.3237496	9392.447	53.329711	20.565764	2000-2009 –> 2010-2019	9.094795	3.7710458	17332.243	125.701989	1	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1517	5.4569154	9467.405	44.750705	23.227611	2000-2009 –> 2010-2019	9.191773	3.7348574	17379.371	111.266983	6	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1517	5.4809368	9478.731	18.498673	23.077617	2000-2009 –> 2010-2019	9.251995	3.7710587	17416.536	71.840860	8	12
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	1517	5.4970999	9489.665	45.124832	22.960537	2000-2009 –> 2010-2019	9.440751	3.9436515	17558.623	105.198630	10	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1517	5.4233632	9448.692	223.114016	21.962586	2000-2009 –> 2010-2019	9.514283	4.0909194	17623.458	320.126116	4	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1517	5.4458120	9459.225	63.045116	22.859871	2000-2009 –> 2010-2019	9.594317	4.1485050	17672.332	129.143696	5	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1517	5.4710481	9475.252	34.276953	21.571082	2000-2009 –> 2010-2019	9.642478	4.1714297	17706.264	61.768741	7	23
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1517	5.5115171	9495.612	15.236693	22.796461	2000-2009 –> 2010-2019	9.703974	4.1924564	17739.134	30.379883	11	29
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1517	5.4909397	9486.263	34.084890	21.288297	2000-2009 –> 2010-2019	9.723768	4.2328285	17759.444	72.273392	9	29
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2938	3.4653574	15654.468	120.732858	17.296877	1982-1999 –> 2000-2009	7.411650	3.9462923	29828.047	376.718533	1	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2938	3.5885815	15859.783	143.113204	17.455978	1982-1999 –> 2000-2009	7.530904	3.9423230	30028.257	187.549845	4	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2938	3.4955962	15705.520	61.763110	16.240137	1982-1999 –> 2000-2009	7.650781	4.1551849	30140.715	273.462694	2	12
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	2938	3.6996562	16038.900	128.989350	17.722726	1982-1999 –> 2000-2009	7.658166	3.9585102	30228.158	172.885444	7	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	2938	3.8235776	16232.495	97.225654	15.242928	1982-1999 –> 2000-2009	7.733468	3.9098902	30359.070	327.234437	10	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2938	3.8841673	16324.878	123.654933	15.112212	1982-1999 –> 2000-2009	7.761335	3.8771679	30408.827	168.473244	14	15
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2938	3.6205997	15911.978	55.480441	16.231219	1982-1999 –> 2000-2009	7.829621	4.2090216	30412.466	93.731907	5	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	2938	3.9533760	16428.656	107.910704	14.988944	1982-1999 –> 2000-2009	7.841071	3.8876946	30526.356	151.967154	22	24
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2938	3.9210368	16378.391	122.758252	15.233060	1982-1999 –> 2000-2009	7.948691	4.0276540	30653.477	163.301111	18	25
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	2938	3.8625884	16290.142	87.164453	15.369244	1982-1999 –> 2000-2009	7.973764	4.1111754	30669.330	293.843640	12	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3510	6.1313128	22705.079	168.835079	31.249013	2000-2009 –> 2010-2019	9.626909	3.4955962	38410.599	230.598188	7	9
Atlantic	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	3510	5.9418699	22484.756	204.124416	32.981621	2000-2009 –> 2010-2019	9.765448	3.8235776	38717.251	301.350070	3	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3510	5.8937883	22427.719	62.057881	35.693842	2000-2009 –> 2010-2019	9.777956	3.8841673	38752.597	185.712814	1	15
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3510	6.1666700	22745.445	37.649165	30.208927	2000-2009 –> 2010-2019	9.787270	3.6205997	38657.422	93.129606	8	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	3510	6.3300519	22929.014	211.918554	76.555295	2000-2009 –> 2010-2019	9.795409	3.4653574	38583.482	332.651412	16	17
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	3510	5.9023167	22437.870	61.763794	35.681871	2000-2009 –> 2010-2019	9.855693	3.9533760	38866.526	169.674499	2	24
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3510	6.1996375	22782.874	37.063614	29.042646	2000-2009 –> 2010-2019	9.984638	3.7850001	38955.783	90.624610	9	17
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3510	6.3993572	23005.455	56.595905	73.445217	2000-2009 –> 2010-2019	9.987939	3.5885815	38865.238	199.709110	17	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3510	6.2034859	22785.230	60.962120	30.476622	2000-2009 –> 2010-2019	10.054628	3.8511425	39057.934	106.527254	11	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3510	6.2173655	22800.919	37.522219	29.607531	2000-2009 –> 2010-2019	10.102311	3.8849451	39124.974	81.791808	13	28
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3866	3.5635260	20810.676	110.442531	36.142477	1982-1999 –> 2000-2009	7.148784	3.5852580	45156.686	179.055841	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3866	3.5645265	20812.846	101.883693	35.864293	1982-1999 –> 2000-2009	7.160810	3.5962838	45186.572	168.031046	2	5
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3866	3.5682383	20820.893	117.343699	36.144293	1982-1999 –> 2000-2009	7.160902	3.5926637	45185.529	187.047807	4	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3866	3.5651177	20812.129	46.034646	35.472148	1982-1999 –> 2000-2009	7.193073	3.6279556	45262.997	87.158276	3	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3866	3.5748954	20833.305	45.994785	34.785845	1982-1999 –> 2000-2009	7.209084	3.6341885	45299.667	87.127413	5	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3866	3.5777203	20839.413	70.918811	34.008754	1982-1999 –> 2000-2009	7.216976	3.6392559	45318.351	111.273389	6	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3866	3.5935229	20875.489	98.070494	36.395454	1982-1999 –> 2000-2009	7.347989	3.7544667	45637.741	158.999379	7	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	3866	3.6323730	20956.633	45.917048	33.040377	1982-1999 –> 2000-2009	7.527958	3.8955851	46049.923	102.272409	8	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3866	3.6945462	21089.857	92.642776	33.476646	1982-1999 –> 2000-2009	7.677620	3.9830741	46385.615	146.404974	11	33
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3866	3.6544498	21005.484	95.657847	34.119300	1982-1999 –> 2000-2009	7.707328	4.0528779	46458.053	152.061966	10	34
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4563	4.0939311	25826.382	68.128748	18.904680	2000-2009 –> 2010-2019	7.687454	3.5935229	46701.871	166.199242	1	8
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4563	4.1616831	25976.175	74.993498	20.291419	2000-2009 –> 2010-2019	7.725209	3.5635260	46786.851	185.436029	3	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4563	4.1578891	25967.852	75.949079	20.267730	2000-2009 –> 2010-2019	7.726127	3.5682383	46788.745	193.292778	2	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4563	4.1788220	26013.681	72.609008	20.234843	2000-2009 –> 2010-2019	7.743348	3.5645265	46826.527	174.492701	4	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4563	4.1864980	26028.429	49.269155	19.005573	2000-2009 –> 2010-2019	7.751616	3.5651177	46840.558	95.303800	6	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	4563	4.1854228	26026.085	49.276239	18.934168	2000-2009 –> 2010-2019	7.760318	3.5748954	46859.390	95.271024	5	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4563	4.2014125	26060.883	48.325969	19.011993	2000-2009 –> 2010-2019	7.779133	3.5777203	46900.296	119.244781	7	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	4563	4.2482903	26162.144	58.296330	16.017889	2000-2009 –> 2010-2019	7.880663	3.6323730	47118.776	104.213378	10	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4563	4.2424370	26149.561	60.853319	19.501541	2000-2009 –> 2010-2019	8.277527	4.0350895	47919.154	130.341235	8	39
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate_star	4563	4.2424373	26147.562	47.927896	19.497024	2000-2009 –> 2010-2019	8.653569	4.4111317	48604.098	93.062603	9	52
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	855	4.1982672	4893.674	124.197526	14.992097	1982-1999 –> 2000-2009	7.178535	2.9802677	10406.658	255.325816	2	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	855	4.1977696	4893.471	158.556469	14.572643	1982-1999 –> 2000-2009	7.196027	2.9982573	10419.635	330.143672	1	13
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	855	4.2582421	4917.929	181.063555	15.502977	1982-1999 –> 2000-2009	7.227664	2.9694222	10422.929	374.365788	7	9
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	855	4.2559830	4917.022	153.138962	15.623510	1982-1999 –> 2000-2009	7.231822	2.9758394	10426.750	310.338703	6	11
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	855	4.2718850	4923.399	198.275806	15.408584	1982-1999 –> 2000-2009	7.240716	2.9688306	10427.963	406.464955	12	13
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	855	4.2659031	4921.003	159.082655	15.300636	1982-1999 –> 2000-2009	7.244443	2.9785401	10432.717	343.207078	9	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	855	4.2654792	4918.833	38.555022	16.515014	1982-1999 –> 2000-2009	7.298591	3.0331119	10468.309	75.084935	8	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	855	4.3131734	4939.847	152.525312	15.868439	1982-1999 –> 2000-2009	7.309596	2.9964226	10464.671	311.236318	13	24
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	855	4.4098477	4975.752	39.764811	18.099898	1982-1999 –> 2000-2009	7.382665	2.9728176	10481.254	77.823023	23	27
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + silicate + phosphate_star	855	4.4164223	4978.299	40.957138	17.849042	1982-1999 –> 2000-2009	7.386869	2.9704468	10482.055	87.416246	26	29
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1299	4.1216250	7379.813	228.545500	14.484720	2000-2009 –> 2010-2019	8.319395	4.1977696	12273.284	387.101969	2	3
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	1299	4.0989577	7363.486	732.339424	15.311411	2000-2009 –> 2010-2019	8.352146	4.2531885	12277.385	1567.112569	1	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	1299	4.1216288	7377.816	47.302771	14.469832	2000-2009 –> 2010-2019	8.387108	4.2654792	12296.649	85.857793	3	11
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1299	4.2716156	7472.678	177.138247	15.104330	2000-2009 –> 2010-2019	8.469883	4.1982672	12366.352	301.335773	12	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1299	4.2705573	7470.034	108.986895	16.457319	2000-2009 –> 2010-2019	8.487479	4.2169213	12369.289	193.500402	10	14
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1299	4.2290365	7446.651	221.935116	16.942747	2000-2009 –> 2010-2019	8.494940	4.2659031	12367.654	381.017771	5	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	1299	4.1319235	7384.297	750.709564	16.357104	2000-2009 –> 2010-2019	8.499230	4.3673069	12343.472	1585.979992	4	24
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1299	4.2514485	7460.383	261.593801	16.482756	2000-2009 –> 2010-2019	8.509691	4.2582421	12378.313	442.657356	7	14
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1299	4.2710668	7472.344	284.447841	16.245263	2000-2009 –> 2010-2019	8.542952	4.2718850	12395.743	482.723647	11	23
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1299	4.2581399	7462.469	179.359984	18.242445	2000-2009 –> 2010-2019	8.592688	4.3345477	12408.769	327.250628	8	24
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	820	5.0930793	5010.787	178.624370	22.175624	1982-1999 –> 2000-2009	8.534735	3.4416556	9909.786	321.746216	2	3
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	820	5.0911007	5010.149	220.824615	21.921347	1982-1999 –> 2000-2009	8.566106	3.4750053	9926.893	392.804066	1	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	820	5.2442568	5056.758	141.780581	21.646272	1982-1999 –> 2000-2009	8.709021	3.4647638	9966.071	256.857184	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	820	5.3019413	5074.699	167.165506	20.933247	1982-1999 –> 2000-2009	8.780263	3.4783216	9991.198	306.781861	7	11
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	820	5.2782324	5069.349	246.979034	22.722601	1982-1999 –> 2000-2009	8.792808	3.5145756	10006.926	426.237505	5	10
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	820	5.2986383	5075.677	282.954464	22.793558	1982-1999 –> 2000-2009	8.865662	3.5670241	10040.510	488.646130	6	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	820	5.4730619	5126.794	188.500985	21.275910	1982-1999 –> 2000-2009	8.999005	3.5259428	10068.313	326.259477	14	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	820	5.3585481	5094.116	263.543221	22.148173	1982-1999 –> 2000-2009	9.009706	3.6511576	10101.844	620.286482	8	22
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	820	5.4031599	5107.713	302.852335	22.621892	1982-1999 –> 2000-2009	9.035869	3.6327089	10106.120	517.310410	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	820	5.4189764	5112.507	240.723783	22.964405	1982-1999 –> 2000-2009	9.054738	3.6357620	10112.460	421.428767	11	23
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1282	4.9735703	7765.168	220.453775	17.328815	2000-2009 –> 2010-2019	10.064671	5.0911007	12775.318	441.278390	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1282	5.0596540	7809.167	190.887370	17.325291	2000-2009 –> 2010-2019	10.152733	5.0930793	12819.953	369.511740	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + phosphate_star	1282	4.9761528	7764.499	156.329376	17.391271	2000-2009 –> 2010-2019	10.278094	5.3019413	12839.198	323.494882	2	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1282	5.0733489	7814.097	139.595270	17.388729	2000-2009 –> 2010-2019	10.317606	5.2442568	12870.856	281.375851	4	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1282	5.3309661	7943.096	257.546387	18.606993	2000-2009 –> 2010-2019	10.609198	5.2782324	13012.445	504.525421	9	14
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1282	5.3271710	7941.270	283.516146	18.661716	2000-2009 –> 2010-2019	10.625809	5.2986383	13016.947	566.470611	7	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + silicate + phosphate_star	1282	5.1581952	7856.623	45.686568	18.273499	2000-2009 –> 2010-2019	10.628465	5.4702696	12982.580	101.357298	5	17
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1282	5.3431337	7948.941	288.013015	18.544050	2000-2009 –> 2010-2019	10.701682	5.3585481	13043.057	551.556236	11	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + phosphate_star	1282	5.2672556	7908.269	36.580545	19.238565	2000-2009 –> 2010-2019	10.766894	5.4996382	13041.007	62.580033	6	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1282	5.3377705	7944.366	177.581358	18.665643	2000-2009 –> 2010-2019	10.810832	5.4730619	13071.160	366.082343	10	24
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	602	5.0342488	3668.384	499.091870	17.561393	1982-1999 –> 2000-2009	8.290933	3.2566844	7009.934	797.866550	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	602	5.0518815	3672.594	499.741406	17.836133	1982-1999 –> 2000-2009	8.377289	3.3254078	7040.873	797.576066	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	602	5.1048237	3685.146	572.060064	17.927811	1982-1999 –> 2000-2009	8.472243	3.3674189	7069.495	880.873056	4	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	602	5.0866019	3680.840	487.082074	18.191912	1982-1999 –> 2000-2009	8.496505	3.4099031	7081.237	792.183765	3	8
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	602	5.1104175	3686.464	571.606783	18.003258	1982-1999 –> 2000-2009	8.510225	3.3998079	7083.066	881.266733	6	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	602	5.1092645	3684.193	51.987660	17.192337	1982-1999 –> 2000-2009	8.539978	3.4307137	7090.378	117.899440	5	11
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	602	5.1344391	3692.111	538.613829	18.041252	1982-1999 –> 2000-2009	8.603522	3.4690824	7114.531	913.417284	9	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	602	5.1185008	3686.367	342.688966	17.384171	1982-1999 –> 2000-2009	8.612129	3.4936286	7115.813	584.761218	7	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	602	5.1272636	3688.427	52.586834	17.486998	1982-1999 –> 2000-2009	8.635671	3.5084076	7123.276	116.042371	8	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	602	5.1426558	3692.036	52.953229	17.710186	1982-1999 –> 2000-2009	8.661081	3.5184253	7130.534	118.098137	10	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1005	4.0796056	5692.127	403.638435	22.306454	2000-2009 –> 2010-2019	9.113854	5.0342488	9360.511	902.730306	6	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1005	4.0763381	5690.517	404.298117	22.077768	2000-2009 –> 2010-2019	9.128220	5.0518815	9363.110	904.039523	4	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1005	4.0781155	5691.393	393.231438	21.669211	2000-2009 –> 2010-2019	9.164717	5.0866019	9372.233	880.313512	5	8
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1005	4.0740899	5689.408	457.106627	21.878229	2000-2009 –> 2010-2019	9.178914	5.1048237	9374.554	1029.166691	2	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1005	4.0738383	5689.284	456.744552	21.828986	2000-2009 –> 2010-2019	9.184256	5.1104175	9375.748	1028.351335	1	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1005	4.0743748	5689.548	433.294421	21.767470	2000-2009 –> 2010-2019	9.208814	5.1344391	9381.659	971.908250	3	12
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1005	4.0805035	5692.569	449.121910	21.331490	2000-2009 –> 2010-2019	9.242070	5.1615662	9391.024	1010.433826	7	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + silicate + phosphate_star	1005	4.1260148	5712.864	47.605606	20.599654	2000-2009 –> 2010-2019	9.283326	5.1573118	9408.326	95.151014	10	21
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1005	4.1257578	5712.738	47.287042	20.565496	2000-2009 –> 2010-2019	9.286873	5.1611151	9409.088	95.026962	9	21
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1005	4.1785586	5738.299	56.879275	20.736587	2000-2009 –> 2010-2019	9.287823	5.1092645	9422.492	108.866934	16	21
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1131	2.6918777	5463.560	107.924294	17.028301	1982-1999 –> 2000-2009	4.755230	2.0633524	10132.743	192.445512	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1131	2.7045716	5474.201	122.297669	17.043785	1982-1999 –> 2000-2009	4.804646	2.1000744	10181.701	178.656061	2	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1131	2.7071024	5476.317	46.787737	17.049259	1982-1999 –> 2000-2009	4.812086	2.1049837	10188.888	70.174069	3	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1131	2.7078342	5476.928	46.227225	17.052790	1982-1999 –> 2000-2009	4.812638	2.1048034	10189.313	69.514434	4	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1131	2.7132239	5481.426	46.396972	17.060075	1982-1999 –> 2000-2009	4.814460	2.1012358	10190.126	69.709482	6	10
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1131	2.7116266	5480.094	38.319643	17.085954	1982-1999 –> 2000-2009	4.817695	2.1060681	10193.784	55.419846	5	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1131	2.7137220	5481.841	38.308364	17.104257	1982-1999 –> 2000-2009	4.819521	2.1057995	10195.254	55.366641	8	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	1131	2.7135977	5479.738	31.348978	17.046888	1982-1999 –> 2000-2009	4.820960	2.1073619	10192.761	38.540404	7	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1131	2.7189437	5486.190	38.382355	17.109017	1982-1999 –> 2000-2009	4.821244	2.1023002	10195.990	55.464940	9	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1131	2.7460922	5506.664	97.960799	17.560938	1982-1999 –> 2000-2009	4.844197	2.0981052	10210.125	179.591087	15	17
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1656	1.9830986	6981.120	150.994469	26.264991	2000-2009 –> 2010-2019	4.674976	2.6918777	12444.680	258.918764	9	10
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1656	1.9774778	6971.720	31.003951	25.793493	2000-2009 –> 2010-2019	4.684580	2.7071024	12448.036	77.791688	1	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1656	1.9774975	6971.753	30.719053	25.789909	2000-2009 –> 2010-2019	4.685332	2.7078342	12448.681	76.946278	2	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1656	1.9807983	6977.276	59.714095	25.845031	2000-2009 –> 2010-2019	4.685370	2.7045716	12451.477	182.011763	4	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1656	1.9784782	6973.395	30.853601	25.844404	2000-2009 –> 2010-2019	4.691702	2.7132239	12454.821	77.250573	3	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1656	1.9809780	6977.577	25.092349	25.818274	2000-2009 –> 2010-2019	4.692604	2.7116266	12457.671	63.411992	6	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1656	1.9809775	6977.576	25.039019	25.818681	2000-2009 –> 2010-2019	4.694699	2.7137220	12459.417	63.347382	5	13
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1656	1.9814797	6978.415	25.155858	25.860253	2000-2009 –> 2010-2019	4.700423	2.7189437	12464.605	63.538213	8	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	1656	1.9878268	6987.007	13.937722	26.221549	2000-2009 –> 2010-2019	4.701424	2.7135977	12466.745	45.286699	12	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1656	1.9887219	6988.498	38.005555	26.132142	2000-2009 –> 2010-2019	4.730233	2.7415108	12491.385	137.652213	13	23
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4045	8.4634877	28771.522	66.623624	30.530971	1982-1999 –> 2000-2009	17.067500	8.6040126	45005.764	203.588115	1	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4045	8.5776847	28879.950	22.273459	28.679243	1982-1999 –> 2000-2009	17.159925	8.5822399	45102.683	46.043465	2	3
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4045	8.6094354	28909.840	20.516906	29.076616	1982-1999 –> 2000-2009	17.240988	8.6315530	45158.597	42.396333	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4045	8.8205104	29105.788	59.714542	29.812907	1982-1999 –> 2000-2009	17.807138	8.9866273	45537.647	95.125061	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4045	8.8304091	29114.862	56.639120	30.070821	1982-1999 –> 2000-2009	17.846557	9.0161478	45561.616	90.089091	6	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4045	8.8366983	29118.621	14.805627	29.802734	1982-1999 –> 2000-2009	17.897708	9.0610094	45585.920	33.769475	8	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4045	8.8428778	29124.277	12.513686	30.091801	1982-1999 –> 2000-2009	17.917984	9.0751057	45598.636	29.181480	9	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	4045	8.8715034	29152.423	66.723395	30.295874	1982-1999 –> 2000-2009	17.945127	9.0736232	45628.040	211.195286	11	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4045	8.8279727	29112.629	13.182767	31.509204	1982-1999 –> 2000-2009	18.168710	9.3407372	45720.025	22.009302	5	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4045	8.8313036	29115.681	13.398092	31.342313	1982-1999 –> 2000-2009	18.171486	9.3401822	45722.807	22.175139	7	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5087	8.6707401	36425.654	93.439586	35.798132	2000-2009 –> 2010-2019	17.134228	8.4634877	65197.176	160.063210	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5087	8.9339584	36729.912	32.641208	34.740366	2000-2009 –> 2010-2019	17.511643	8.5776847	65609.862	54.914667	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5087	9.0115169	36817.854	29.198966	34.636455	2000-2009 –> 2010-2019	17.620952	8.6094354	65727.694	49.715872	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5087	9.2341203	37066.120	60.204508	33.238103	2000-2009 –> 2010-2019	18.054631	8.8205104	66171.907	119.919050	5	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5087	9.2342968	37064.314	27.102688	33.226400	2000-2009 –> 2010-2019	18.070995	8.8366983	66182.936	41.908315	6	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	5087	9.2056496	37034.703	95.419197	46.337564	2000-2009 –> 2010-2019	18.077153	8.8715034	66187.126	162.142593	4	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	5087	9.2704540	37106.073	58.381544	33.239499	2000-2009 –> 2010-2019	18.100863	8.8304091	66220.935	115.020664	7	13
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5087	9.2718639	37105.620	22.327368	33.208566	2000-2009 –> 2010-2019	18.114742	8.8428778	66229.897	34.841053	8	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	5087	9.3173457	37157.405	66.282973	42.214493	2000-2009 –> 2010-2019	18.165111	8.8477652	66288.152	113.816364	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5087	9.4098920	37257.962	15.318368	36.714067	2000-2009 –> 2010-2019	18.237865	8.8279727	66370.591	28.501135	12	17
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2756	6.0317840	17740.489	19.564440	30.370670	1982-1999 –> 2000-2009	10.895501	4.8637165	32038.018	35.516695	2	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2756	6.0026580	17713.809	606.024023	31.974592	1982-1999 –> 2000-2009	10.920481	4.9178232	32063.998	1252.270308	1	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2756	6.0617244	17767.782	21.948106	29.771039	1982-1999 –> 2000-2009	10.930052	4.8683271	32069.821	38.808701	3	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	2756	6.4960280	18149.194	602.511693	28.936512	1982-1999 –> 2000-2009	11.828010	5.3319817	32884.262	1136.439206	4	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2756	6.5110156	18161.896	27.510109	28.177313	1982-1999 –> 2000-2009	11.841608	5.3305921	32895.724	42.747351	6	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	2756	6.5301109	18178.038	27.251152	27.697636	1982-1999 –> 2000-2009	11.870162	5.3400506	32920.305	42.245338	8	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2756	6.5127239	18161.342	10.010579	28.276090	1982-1999 –> 2000-2009	11.962465	5.4497410	32998.394	15.682593	7	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2756	6.5037579	18153.749	268.211613	29.009212	1982-1999 –> 2000-2009	11.963921	5.4601634	32999.895	362.389277	5	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2756	6.5302820	18176.182	9.788325	27.732835	1982-1999 –> 2000-2009	11.965924	5.4356421	33000.903	15.358880	9	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2756	6.7862480	18390.108	17.485938	23.901740	1982-1999 –> 2000-2009	12.335789	5.5495409	33315.540	27.738941	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2613	6.8934266	17518.523	465.000819	25.829601	2000-2009 –> 2010-2019	12.896085	6.0026580	35232.331	1071.024842	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2613	7.0837558	17660.858	14.524490	24.406177	2000-2009 –> 2010-2019	13.115540	6.0317840	35401.347	34.088930	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2613	7.1500770	17709.558	16.155611	23.900645	2000-2009 –> 2010-2019	13.211801	6.0617244	35477.340	38.103716	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	2613	7.4760185	17942.519	597.237540	22.253677	2000-2009 –> 2010-2019	13.972046	6.4960280	36091.712	1199.749234	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2613	7.4765459	17940.888	170.908709	22.327671	2000-2009 –> 2010-2019	13.980304	6.5037579	36094.636	439.120322	5	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2613	7.5468325	17991.787	23.076753	21.895605	2000-2009 –> 2010-2019	14.057848	6.5110156	36153.683	50.586862	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2613	7.5566770	17996.600	9.415301	21.491671	2000-2009 –> 2010-2019	14.069401	6.5127239	36157.942	19.425880	7	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	2613	7.5988508	18027.685	22.618835	21.606785	2000-2009 –> 2010-2019	14.128962	6.5301109	36205.723	49.869986	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2613	7.6184073	18039.118	8.336758	20.991088	2000-2009 –> 2010-2019	14.148689	6.5302820	36215.300	18.125083	10	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2613	7.5825547	18016.466	13.868265	21.364127	2000-2009 –> 2010-2019	14.368803	6.7862480	36406.574	31.354204	8	18
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	2487	5.1809986	15254.019	24.391057	20.274259	1982-1999 –> 2000-2009	9.486202	4.3052034	27232.158	45.443108	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2487	5.2046093	15276.635	51.936321	20.289674	1982-1999 –> 2000-2009	9.525832	4.3212225	27270.209	101.627498	4	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2487	5.1999059	15272.138	22.287277	20.427225	1982-1999 –> 2000-2009	9.540123	4.3402171	27283.941	43.793409	2	6
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2487	5.2149890	15284.545	9.117410	20.267381	1982-1999 –> 2000-2009	9.552935	4.3379459	27292.172	13.701729	7	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	2487	5.2046819	15276.705	702.148975	20.090636	1982-1999 –> 2000-2009	9.561735	4.3570537	27304.598	1453.615988	5	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2487	5.2045530	15276.581	14.450765	19.944864	1982-1999 –> 2000-2009	9.562161	4.3576078	27305.003	28.666088	3	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2487	5.2047881	15274.806	12.406475	20.020139	1982-1999 –> 2000-2009	9.565555	4.3607668	27304.239	18.715036	6	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	2487	5.2208876	15292.168	14.179810	19.408534	1982-1999 –> 2000-2009	9.597627	4.3767397	27338.796	27.795880	8	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2487	5.2254457	15294.509	210.292306	19.829674	1982-1999 –> 2000-2009	9.597739	4.3722929	27334.912	312.305260	9	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	2487	5.2266735	15295.677	7.878865	19.619676	1982-1999 –> 2000-2009	9.603894	4.3772202	27340.762	11.860006	10	22
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2625	5.7764934	16670.861	37.427805	19.608487	2000-2009 –> 2010-2019	10.981103	5.2046093	31947.496	89.364126	1	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2625	5.7958429	16688.417	34.873847	19.602981	2000-2009 –> 2010-2019	11.030820	5.2349767	31993.990	82.989747	2	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	2625	5.8552823	16741.984	14.476518	18.348068	2000-2009 –> 2010-2019	11.036281	5.1809986	31996.004	38.867575	5	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2625	5.8548622	16741.608	8.991292	18.168113	2000-2009 –> 2010-2019	11.059415	5.2045530	32018.189	23.442056	4	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2625	5.8436325	16731.528	822.889219	19.200464	2000-2009 –> 2010-2019	11.069035	5.2254025	32027.996	1734.564329	3	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2625	5.8712744	16756.304	13.569003	18.385845	2000-2009 –> 2010-2019	11.071180	5.1999059	32028.442	35.856280	8	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	2625	5.8684039	16753.736	528.775650	18.316319	2000-2009 –> 2010-2019	11.073086	5.2046819	32030.441	1230.924626	6	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2625	5.8713359	16754.359	8.345423	18.412698	2000-2009 –> 2010-2019	11.076124	5.2047881	32029.165	20.751898	9	15
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2625	5.8704683	16753.583	6.856344	18.240526	2000-2009 –> 2010-2019	11.085457	5.2149890	32038.128	15.973754	7	14
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	2625	5.8807807	16764.797	8.684720	18.366681	2000-2009 –> 2010-2019	11.101668	5.2208876	32056.965	22.864530	10	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	3350	4.6016807	19747.913	50.529891	18.533015	1982-1999 –> 2000-2009	9.241787	4.6401060	34636.624	72.996542	1	3
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	3350	4.6523663	19821.307	21.460852	17.143149	1982-1999 –> 2000-2009	9.292401	4.6400343	34709.940	36.083953	5	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3350	4.6149041	19767.138	41.943390	18.751897	1982-1999 –> 2000-2009	9.293801	4.6788968	34697.775	64.704299	2	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate_star	3350	4.6639352	19835.947	9.264951	16.782023	1982-1999 –> 2000-2009	9.304057	4.6401217	34722.675	15.369920	6	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3350	4.6346057	19795.681	19.739653	17.625687	1982-1999 –> 2000-2009	9.326075	4.6914697	34739.832	35.115667	3	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3350	4.6366225	19796.596	9.451090	17.231493	1982-1999 –> 2000-2009	9.345849	4.7092261	34757.771	15.553380	4	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3350	4.7011366	19891.177	929.694635	17.994643	1982-1999 –> 2000-2009	9.362487	4.6613500	34802.892	1861.775556	7	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3350	4.7097672	19903.466	47.787979	18.198962	1982-1999 –> 2000-2009	9.365901	4.6561342	34809.543	86.997432	9	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3350	4.7132248	19906.383	9.707087	18.273833	1982-1999 –> 2000-2009	9.369359	4.6561342	34810.460	14.741117	11	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	3350	4.7097683	19901.468	8.610010	18.198640	1982-1999 –> 2000-2009	9.373282	4.6635137	34813.520	12.784760	10	17
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	3740	4.7545129	22289.685	33.519617	20.082592	2000-2009 –> 2010-2019	9.356194	4.6016807	42037.598	84.049508	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3740	4.7643193	22305.097	26.740075	20.324414	2000-2009 –> 2010-2019	9.379223	4.6149041	42072.236	68.683465	9	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3740	4.7648049	22305.860	11.700351	20.486566	2000-2009 –> 2010-2019	9.399411	4.6346057	42101.540	31.440004	12	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3740	4.7664156	22306.388	7.429724	20.422881	2000-2009 –> 2010-2019	9.403038	4.6366225	42102.983	16.880814	14	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	3740	4.7559044	22291.874	13.062289	19.926821	2000-2009 –> 2010-2019	9.408271	4.6523663	42113.181	34.523140	4	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate_star	3740	4.7569471	22291.514	7.240516	19.992185	2000-2009 –> 2010-2019	9.420882	4.6639352	42127.461	16.505467	5	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3740	4.7602691	22298.736	811.876424	20.391058	2000-2009 –> 2010-2019	9.461406	4.7011366	42189.913	1741.571059	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3740	4.7614941	22298.660	172.189721	20.585098	2000-2009 –> 2010-2019	9.462967	4.7014724	42188.316	378.887469	8	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3740	4.7548561	22290.225	34.310144	20.275870	2000-2009 –> 2010-2019	9.464623	4.7097672	42193.691	82.098124	2	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3740	4.7550069	22288.462	7.906413	20.233166	2000-2009 –> 2010-2019	9.468232	4.7132248	42194.845	17.613500	3	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	5484	3.5567363	29493.592	722.491551	13.114197	1982-1999 –> 2000-2009	7.474164	3.9174274	50390.394	1067.877173	3	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	5484	3.5051728	29333.420	13.474510	12.606150	1982-1999 –> 2000-2009	7.497903	3.9927300	50373.023	24.457916	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5484	3.5246847	29394.305	12.878384	12.987204	1982-1999 –> 2000-2009	7.571415	4.0467299	50534.663	24.171268	2	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	5484	3.6001170	29626.557	27.494357	14.126619	1982-1999 –> 2000-2009	7.641196	4.0410789	50756.433	40.779469	4	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5484	3.6103633	29657.728	20.740452	14.091241	1982-1999 –> 2000-2009	7.672833	4.0624694	50827.200	34.029193	5	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate_star	5484	3.7051377	29939.931	9.631433	20.740511	1982-1999 –> 2000-2009	8.207498	4.5023602	51878.483	16.359912	6	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5484	3.7280212	30009.463	24.722352	12.224932	1982-1999 –> 2000-2009	8.240839	4.5128181	51967.416	49.941665	7	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5484	3.8414531	30336.208	7.806564	13.349130	1982-1999 –> 2000-2009	8.379202	4.5377485	52333.480	16.996130	10	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	5484	4.0726382	30979.181	694.850736	14.655748	1982-1999 –> 2000-2009	8.429081	4.3564431	52672.640	1496.744184	31	37
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	5484	3.8205831	30278.459	935.739704	11.971222	1982-1999 –> 2000-2009	8.433562	4.6129790	52401.051	1823.624243	8	22
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	6141	3.4140593	32522.495	10.144040	14.029525	2000-2009 –> 2010-2019	6.919232	3.5051728	61855.916	23.618550	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6141	3.4164132	32530.960	8.835953	14.356226	2000-2009 –> 2010-2019	6.941098	3.5246847	61925.266	21.714338	2	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	6141	3.5393800	32965.256	403.197806	15.744729	2000-2009 –> 2010-2019	7.096116	3.5567363	62458.848	1125.689357	3	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	6141	3.5519942	33008.951	20.799352	16.126634	2000-2009 –> 2010-2019	7.152111	3.6001170	62635.508	48.293709	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6141	3.5568010	33025.560	15.657184	16.137605	2000-2009 –> 2010-2019	7.167164	3.6103633	62683.289	36.397636	5	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + nitrate + silicate + phosphate_star	6141	3.6265870	33262.205	6.297868	19.211119	2000-2009 –> 2010-2019	7.331725	3.7051377	63202.137	15.929301	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6141	3.7204910	33578.178	20.654408	16.584168	2000-2009 –> 2010-2019	7.448512	3.7280212	63587.641	45.376760	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6141	3.7281571	33601.459	6.862443	21.012751	2000-2009 –> 2010-2019	7.551359	3.8232021	63885.434	17.128826	8	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6141	3.8512449	34000.408	6.332952	15.941916	2000-2009 –> 2010-2019	7.692698	3.8414531	64336.616	14.139516	9	19
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	6141	4.0214836	34533.659	509.077669	20.814669	2000-2009 –> 2010-2019	7.842067	3.8205831	64812.118	1444.817373	17	25
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	7249	3.3808382	38246.128	11.666599	18.652379	1982-1999 –> 2000-2009	6.686570	3.3057319	66147.413	25.868086	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7249	3.4041305	38345.669	12.894928	18.469407	1982-1999 –> 2000-2009	6.707217	3.3030868	66238.417	27.122329	4	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	7249	3.4052521	38350.445	15.249965	20.738686	1982-1999 –> 2000-2009	6.944013	3.5387609	66978.285	28.017155	6	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7249	3.4035636	38343.255	15.356796	20.764200	1982-1999 –> 2000-2009	6.946742	3.5431787	66984.402	28.122508	3	8
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	7249	3.4156738	38394.748	358.344650	20.596653	1982-1999 –> 2000-2009	6.947046	3.5313718	67000.294	533.502185	7	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	7249	3.4164022	38397.840	466.090372	19.325819	1982-1999 –> 2000-2009	7.015262	3.5988595	67205.299	936.296183	8	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	7249	3.4041449	38345.731	10.884469	19.442490	1982-1999 –> 2000-2009	7.016745	3.6125998	67193.834	22.823610	5	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7249	3.4029441	38340.616	10.546102	19.444176	1982-1999 –> 2000-2009	7.021516	3.6185718	67206.337	22.524539	2	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	7249	3.4947928	38724.742	8.329951	18.379125	1982-1999 –> 2000-2009	7.129009	3.6342159	67634.477	19.498415	13	22
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	7249	3.4581896	38572.095	230.967343	20.963236	1982-1999 –> 2000-2009	7.160420	3.7022304	67679.599	382.088139	11	22
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7464	3.3709931	39336.530	9.611056	17.599090	2000-2009 –> 2010-2019	6.775124	3.4041305	77682.199	22.505984	1	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	7464	3.4114083	39514.439	8.616684	17.986688	2000-2009 –> 2010-2019	6.792247	3.3808382	77760.567	20.283283	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7464	3.5006960	39900.128	9.723241	18.145012	2000-2009 –> 2010-2019	6.903640	3.4029441	78240.744	20.269343	3	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	7464	3.5078956	39930.798	9.728249	18.164712	2000-2009 –> 2010-2019	6.912040	3.4041449	78276.529	20.612718	6	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	7464	3.5017675	39904.697	229.948185	17.821617	2000-2009 –> 2010-2019	6.918170	3.4164022	78302.536	696.038557	4	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7464	3.5648322	40171.149	11.163849	20.871711	2000-2009 –> 2010-2019	6.968396	3.4035636	78514.404	26.520644	8	11
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	7464	3.5780508	40226.400	11.212904	20.897346	2000-2009 –> 2010-2019	6.983303	3.4052521	78576.846	26.462869	9	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	7464	3.5080074	39929.274	6.878304	18.217615	2000-2009 –> 2010-2019	7.002800	3.4947928	78654.016	15.208255	7	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	7464	3.5916559	40283.054	155.652034	20.943435	2000-2009 –> 2010-2019	7.007330	3.4156738	78677.803	513.996684	10	17
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7464	3.5023702	39905.266	7.153508	17.943042	2000-2009 –> 2010-2019	7.023179	3.5208085	78737.534	16.048584	5	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7026	3.3896339	37106.509	15.685299	17.207466	1982-1999 –> 2000-2009	6.174402	2.7847684	58673.566	29.927090	7	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	7026	3.3362158	36883.296	326.473523	15.307905	1982-1999 –> 2000-2009	6.310642	2.9744262	59031.603	707.279970	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7026	3.3734568	37039.285	14.940031	15.555702	1982-1999 –> 2000-2009	6.360196	2.9867391	59224.036	28.648139	4	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	7026	3.3890030	37103.893	14.981445	15.680167	1982-1999 –> 2000-2009	6.385708	2.9967047	59318.031	28.697318	6	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	7026	3.3979886	37141.101	309.700546	16.046040	1982-1999 –> 2000-2009	6.481418	3.0834289	59606.922	571.725983	8	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7026	3.4078251	37181.720	16.454254	16.047913	1982-1999 –> 2000-2009	6.490217	3.0823922	59644.574	31.314098	9	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	7026	3.4198220	37231.102	17.263049	16.095318	1982-1999 –> 2000-2009	6.506598	3.0867764	59706.495	33.815046	10	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7026	3.5038710	37570.282	13.745035	17.597432	1982-1999 –> 2000-2009	6.539316	3.0354448	59895.736	27.043002	16	22
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	7026	3.3099028	36772.028	405.814368	22.142955	1982-1999 –> 2000-2009	6.541822	3.2319187	59652.780	853.017214	1	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	7026	3.4774317	37463.847	12.149489	15.908713	1982-1999 –> 2000-2009	6.572075	3.0946431	59959.695	21.983030	13	23
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	8034	3.0479607	40720.852	304.918927	20.480610	2000-2009 –> 2010-2019	6.357863	3.3099028	77492.880	710.733294	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8034	3.1350033	41173.287	12.321521	20.698082	2000-2009 –> 2010-2019	6.494940	3.3599368	78156.141	25.904642	2	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8034	3.1687223	41345.186	14.650219	20.812753	2000-2009 –> 2010-2019	6.552312	3.3835899	78426.616	28.914279	3	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	8034	3.3266299	42126.594	260.828404	15.866780	2000-2009 –> 2010-2019	6.662846	3.3362158	79009.890	587.301927	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8034	3.4221253	42581.351	11.956990	16.446268	2000-2009 –> 2010-2019	6.795582	3.3734568	79620.635	26.897021	8	12
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	8034	3.4154573	42550.012	221.091277	16.848373	2000-2009 –> 2010-2019	6.813446	3.3979886	79691.113	530.791823	6	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8034	3.3556084	42263.957	245.051145	18.180362	2000-2009 –> 2010-2019	6.837576	3.4819676	79746.122	524.552633	5	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	8034	3.4487116	42705.700	12.036288	16.618183	2000-2009 –> 2010-2019	6.837715	3.3890030	79809.593	27.017732	11	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8034	3.4409726	42669.602	13.747145	17.530351	2000-2009 –> 2010-2019	6.848798	3.4078251	79851.323	30.201399	9	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	8034	3.4169456	42555.012	135.477202	17.226035	2000-2009 –> 2010-2019	6.873422	3.4564766	79933.926	313.165221	7	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3017	1.7182044	11841.958	685.778847	8.723427	1982-1999 –> 2000-2009	3.333684	1.6154796	19750.213	1254.493956	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3017	1.8021062	12129.636	13.978560	8.809833	1982-1999 –> 2000-2009	3.467037	1.6649310	20163.263	26.575262	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3017	1.8251665	12206.359	14.378402	8.818775	1982-1999 –> 2000-2009	3.510759	1.6855927	20291.269	28.135596	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	3017	1.9003598	12449.964	701.673932	7.111943	1982-1999 –> 2000-2009	3.587271	1.6869113	20538.125	1276.114117	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3017	1.9113845	12482.868	680.160365	8.476710	1982-1999 –> 2000-2009	3.640560	1.7291758	20671.922	1248.417513	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3017	1.9859982	12715.933	27.114782	8.112647	1982-1999 –> 2000-2009	3.729343	1.7433443	20940.918	54.707119	6	12
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3017	2.0027505	12766.618	27.252154	8.277207	1982-1999 –> 2000-2009	3.762915	1.7601642	21031.527	55.005655	8	15
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3017	1.9934487	12736.528	10.428204	8.624839	1982-1999 –> 2000-2009	3.770459	1.7770103	21039.043	20.482218	7	15
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3017	2.0107398	12788.641	10.432089	8.670713	1982-1999 –> 2000-2009	3.804532	1.7937924	21130.240	20.880507	9	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3017	2.0560057	12924.972	703.466790	9.262096	1982-1999 –> 2000-2009	3.960558	1.9045520	21517.697	1265.794670	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3666	1.6293142	13996.840	694.341082	12.517307	2000-2009 –> 2010-2019	3.347519	1.7182044	25838.798	1380.119929	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3666	1.7125078	14361.972	13.965776	13.693310	2000-2009 –> 2010-2019	3.514614	1.8021062	26491.608	27.944336	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3666	1.7345737	14455.842	15.719247	13.925357	2000-2009 –> 2010-2019	3.559740	1.8251665	26662.201	30.097649	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	3666	1.8707171	15009.849	695.171816	12.355880	2000-2009 –> 2010-2019	3.771077	1.9003598	27459.813	1396.845748	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3666	1.8954907	15104.308	694.336583	12.439492	2000-2009 –> 2010-2019	3.806875	1.9113845	27587.177	1374.496948	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3666	1.9469259	15302.615	21.626459	13.520427	2000-2009 –> 2010-2019	3.932924	1.9859982	28018.548	48.741241	6	12
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3666	1.9637401	15365.664	21.779774	13.715155	2000-2009 –> 2010-2019	3.966491	2.0027505	28132.282	49.031928	7	15
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3666	1.9793869	15421.853	9.669535	13.653508	2000-2009 –> 2010-2019	3.972836	1.9934487	28158.380	20.097739	8	15
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3666	1.9953911	15480.897	10.150617	13.823566	2000-2009 –> 2010-2019	4.006131	2.0107398	28269.537	20.582706	10	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	3666	1.9923888	15471.856	378.230115	14.869411	2000-2009 –> 2010-2019	4.125382	2.1329937	28618.646	797.122582	9	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4057	1.3551923	13993.464	787.787831	5.537951	1982-1999 –> 2000-2009	2.646746	1.2915537	23721.213	1579.972969	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	4057	1.4318917	14440.165	790.758288	5.387419	1982-1999 –> 2000-2009	2.700984	1.2690923	24066.159	1569.693076	4	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4057	1.4163608	14351.676	13.119281	5.970158	1982-1999 –> 2000-2009	2.736831	1.3204702	24207.849	24.744940	2	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4057	1.4331378	14445.222	785.600912	5.467241	1982-1999 –> 2000-2009	2.744850	1.3117119	24260.798	1555.421531	5	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4057	1.4313727	14437.223	13.135781	6.059480	1982-1999 –> 2000-2009	2.763287	1.3319139	24343.444	25.111813	3	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4057	1.4919090	14773.326	26.956337	5.826162	1982-1999 –> 2000-2009	2.796625	1.3047162	24559.885	57.090327	6	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4057	1.5051439	14844.988	27.117782	5.936759	1982-1999 –> 2000-2009	2.821157	1.3160137	24681.554	57.408196	8	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4057	1.4955892	14791.316	11.030542	5.904521	1982-1999 –> 2000-2009	2.834396	1.3388071	24725.478	21.256079	7	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4057	1.5088488	14862.937	11.023798	5.983296	1982-1999 –> 2000-2009	2.857997	1.3491484	24841.727	21.271398	9	19
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4057	1.5951160	15316.071	768.524403	7.395120	1982-1999 –> 2000-2009	2.931478	1.3363616	25241.629	1518.425420	10	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4308	1.3760810	14990.143	572.322905	10.603364	2000-2009 –> 2010-2019	2.731273	1.3551923	28983.607	1360.110735	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4308	1.4243598	15287.247	11.156631	10.930917	2000-2009 –> 2010-2019	2.840721	1.4163608	29638.923	24.275912	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	4308	1.4238167	15283.961	576.536161	10.283778	2000-2009 –> 2010-2019	2.855708	1.4318917	29724.126	1367.294449	2	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4308	1.4365251	15360.523	11.167086	10.993454	2000-2009 –> 2010-2019	2.867898	1.4313727	29797.746	24.302867	4	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4308	1.4516004	15448.470	568.970427	10.465111	2000-2009 –> 2010-2019	2.884738	1.4331378	29893.693	1354.571339	5	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4308	1.4656817	15533.648	22.317621	10.587510	2000-2009 –> 2010-2019	2.957591	1.4919090	30306.973	49.273958	6	12
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4308	1.4762939	15595.806	22.417262	10.650634	2000-2009 –> 2010-2019	2.981438	1.5051439	30440.795	49.535044	7	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4308	1.4980413	15719.804	7.916576	10.790662	2000-2009 –> 2010-2019	2.993631	1.4955892	30511.120	18.947118	8	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4308	1.5083089	15778.656	7.913971	10.846331	2000-2009 –> 2010-2019	3.017158	1.5088488	30641.593	18.937769	9	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	4308	1.6005348	16292.005	399.944427	10.205567	2000-2009 –> 2010-2019	3.266432	1.6658972	31960.364	854.131621	10	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5953	1.4147229	21038.475	24.302444	8.300536	1982-1999 –> 2000-2009	2.698904	1.2841806	37279.070	52.354009	1	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	5953	1.4227354	21105.716	24.399150	8.365692	1982-1999 –> 2000-2009	2.719145	1.2964094	37438.453	52.538934	4	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5953	1.5227549	21914.607	24.889876	10.065760	1982-1999 –> 2000-2009	2.778741	1.2559861	37939.376	48.271369	7	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5953	1.5321149	21987.566	24.941464	10.142158	1982-1999 –> 2000-2009	2.800739	1.2686238	38109.669	48.353287	8	10
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5953	1.4170486	21058.031	15.686897	8.195233	1982-1999 –> 2000-2009	2.862117	1.4450685	38446.171	36.150967	2	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	5953	1.4178207	21062.517	15.128887	8.193883	1982-1999 –> 2000-2009	2.862896	1.4450748	38448.699	34.241704	3	11
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5953	1.4248656	21123.529	15.676245	8.315952	1982-1999 –> 2000-2009	2.880019	1.4551536	38579.283	36.130287	5	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5953	1.4256350	21127.956	15.127612	8.313599	1982-1999 –> 2000-2009	2.880799	1.4551635	38581.777	34.236576	6	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + silicate	5953	1.5799650	22351.719	13.003326	9.506155	1982-1999 –> 2000-2009	3.067248	1.4872825	40017.793	29.346933	9	20
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + silicate	5953	1.5888966	22418.834	13.000358	9.590885	1982-1999 –> 2000-2009	3.086889	1.4979928	40154.668	29.336526	10	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6823	1.6794547	26451.865	12.780294	12.244106	2000-2009 –> 2010-2019	3.096503	1.4170486	47509.896	28.467190	1	3
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6823	1.6880893	26521.844	18.256356	12.462022	2000-2009 –> 2010-2019	3.102812	1.4147229	47560.319	42.558800	3	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6823	1.6880949	26519.889	11.695506	12.456378	2000-2009 –> 2010-2019	3.105916	1.4178207	47582.406	26.824393	4	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6823	1.6864630	26508.691	12.761781	12.277482	2000-2009 –> 2010-2019	3.111329	1.4248656	47632.220	28.438027	2	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	6823	1.6955577	26582.083	18.298732	12.503415	2000-2009 –> 2010-2019	3.118293	1.4227354	47687.799	42.697882	5	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6823	1.6955647	26580.140	11.693014	12.497139	2000-2009 –> 2010-2019	3.121200	1.4256350	47708.096	26.820626	6	12
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6823	1.8964508	28110.059	19.627942	14.658835	2000-2009 –> 2010-2019	3.419206	1.5227549	50024.666	44.517818	19	26
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	6823	1.7298955	26855.676	479.943483	10.553418	2000-2009 –> 2010-2019	3.423515	1.6936194	50036.447	1102.921963	7	18
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6823	1.7392981	26929.646	12.619630	10.744379	2000-2009 –> 2010-2019	3.434160	1.6948616	50119.147	29.135506	8	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6823	1.9060110	28178.677	19.657415	14.712412	2000-2009 –> 2010-2019	3.438126	1.5321149	50166.243	44.598879	20	28
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3235	1.0926652	9767.902	61.825426	6.972783	1982-1999 –> 2000-2009	2.287853	1.1951881	18828.682	110.861992	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3235	1.0948954	9781.095	61.829230	6.982768	1982-1999 –> 2000-2009	2.293928	1.1990324	18860.063	110.862079	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3235	1.1006544	9815.037	60.235299	6.796019	1982-1999 –> 2000-2009	2.333406	1.2327516	19051.090	107.081293	3	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3235	1.1043950	9834.988	59.251203	6.871776	1982-1999 –> 2000-2009	2.337702	1.2333074	19071.594	105.899502	5	9
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3235	1.1028001	9827.638	60.267259	6.806821	1982-1999 –> 2000-2009	2.339173	1.2363730	19080.306	107.078743	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	3235	1.1064871	9847.233	59.269835	6.881764	1982-1999 –> 2000-2009	2.343344	1.2368567	19100.115	105.896016	6	12
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3235	1.1122671	9882.942	38.821414	6.375616	1982-1999 –> 2000-2009	2.534115	1.4218476	19927.296	79.597986	7	14
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3235	1.1141593	9893.940	38.836218	6.390436	1982-1999 –> 2000-2009	2.539920	1.4257605	19953.859	79.596895	9	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	3235	1.1152529	9898.287	32.554518	6.305178	1982-1999 –> 2000-2009	2.548484	1.4332316	19985.809	61.124087	11	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	3235	1.1125697	9882.702	27.029867	6.330758	1982-1999 –> 2000-2009	2.553309	1.4407397	19999.818	53.175087	8	19
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4651	1.5568093	17330.389	48.568833	13.256086	2000-2009 –> 2010-2019	2.649475	1.0926652	27098.291	110.394259	3	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4651	1.5495616	17286.982	45.271185	13.094011	2000-2009 –> 2010-2019	2.650216	1.1006544	27102.019	105.506484	1	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4651	1.5595351	17346.661	48.589299	13.299054	2000-2009 –> 2010-2019	2.654431	1.0948954	27127.756	110.418529	5	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4651	1.5524032	17304.025	45.322515	13.144798	2000-2009 –> 2010-2019	2.655203	1.1028001	27131.663	105.589774	2	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4651	1.5573440	17331.583	44.985297	13.191543	2000-2009 –> 2010-2019	2.661739	1.1043950	27166.571	104.236500	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	4651	1.5600059	17347.469	45.025724	13.237921	2000-2009 –> 2010-2019	2.666493	1.1064871	27194.702	104.295558	6	12
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4651	1.5732945	17428.371	29.833419	12.475235	2000-2009 –> 2010-2019	2.685562	1.1122671	27311.313	68.654833	7	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	4651	1.5772991	17450.017	15.249028	12.738465	2000-2009 –> 2010-2019	2.689869	1.1125697	27332.720	42.278894	10	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4651	1.5757397	17442.816	29.878874	12.524020	2000-2009 –> 2010-2019	2.689899	1.1141593	27336.757	68.715092	8	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	4651	1.5774417	17450.859	21.061833	12.739272	2000-2009 –> 2010-2019	2.692695	1.1152529	27349.146	53.616351	11	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6079	1.2005897	19488.093	176.993177	5.323196	1982-1999 –> 2000-2009	2.581989	1.3813994	36044.463	283.411121	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	6079	1.2011458	19493.724	177.320546	5.314031	1982-1999 –> 2000-2009	2.583280	1.3821343	36055.144	283.937719	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6079	1.2036587	19519.133	42.311076	5.203228	1982-1999 –> 2000-2009	2.622856	1.4191971	36331.840	66.916210	3	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6079	1.2040908	19523.496	42.274179	5.196723	1982-1999 –> 2000-2009	2.623695	1.4196042	36338.927	66.879274	5	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6079	1.2037454	19518.009	22.404130	5.230465	1982-1999 –> 2000-2009	2.633072	1.4293267	36396.253	39.531030	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	6079	1.2041827	19522.424	22.405680	5.224706	1982-1999 –> 2000-2009	2.633901	1.4297178	36403.266	39.533052	6	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6079	1.2487290	19966.065	41.343558	6.715482	1982-1999 –> 2000-2009	2.754107	1.5053779	37338.587	65.860611	8	15
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6079	1.2507783	19984.001	22.770108	6.717540	1982-1999 –> 2000-2009	2.778778	1.5279997	37496.161	40.427301	9	17
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6079	1.2465206	19944.544	250.983966	4.445091	1982-1999 –> 2000-2009	2.782073	1.5355520	37505.523	416.611758	7	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6079	1.2578757	20052.795	5.283454	4.526079	1982-1999 –> 2000-2009	2.900464	1.6425886	38251.648	10.512421	10	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7616	1.4918782	27720.618	25.558931	11.582502	2000-2009 –> 2010-2019	2.695537	1.2036587	47239.751	67.870008	6	9
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	7616	1.4920269	27722.136	25.538813	11.587658	2000-2009 –> 2010-2019	2.696118	1.2040908	47245.632	67.812992	7	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7616	1.5025387	27829.074	201.079037	12.667748	2000-2009 –> 2010-2019	2.703128	1.2005897	47317.168	378.072214	13	14
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	7616	1.5028004	27831.727	201.330918	12.674007	2000-2009 –> 2010-2019	2.703946	1.2011458	47325.451	378.651464	15	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7616	1.5032960	27834.749	14.021961	12.524609	2000-2009 –> 2010-2019	2.707041	1.2037454	47352.758	36.426091	16	20
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + phosphate_star	7616	1.5035060	27836.877	14.026350	12.533543	2000-2009 –> 2010-2019	2.707689	1.2041827	47359.301	36.432031	18	24
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7616	1.4856405	27656.798	290.562986	12.448378	2000-2009 –> 2010-2019	2.732161	1.2465206	47601.343	541.546951	5	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	7616	1.4813442	27612.685	284.448945	11.859635	2000-2009 –> 2010-2019	2.748930	1.2675855	47760.971	541.148037	1	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7616	1.4956293	27756.868	4.793744	12.313917	2000-2009 –> 2010-2019	2.753505	1.2578757	47809.664	10.077198	12	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7616	1.5129360	27934.114	24.934102	11.678190	2000-2009 –> 2010-2019	2.761665	1.2487290	47900.179	66.277660	21	29
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	3155	0.9099218	8371.859	193.132432	6.284666	1982-1999 –> 2000-2009	2.670521	1.7605995	17860.306	392.138008	1	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3155	0.9171826	8422.011	192.759482	6.264069	1982-1999 –> 2000-2009	2.671870	1.7546872	17894.399	391.123700	3	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	3155	0.9124683	8389.494	193.094916	6.277608	1982-1999 –> 2000-2009	2.673112	1.7606435	17878.060	392.048370	2	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate_star	3155	1.3448725	10837.150	178.428450	8.261513	1982-1999 –> 2000-2009	3.065990	1.7211180	20217.321	375.264569	14	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3155	1.2798207	10524.306	11.175717	7.814740	1982-1999 –> 2000-2009	3.106026	1.8262052	20187.413	25.678948	10	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + phosphate_star	3155	1.3803153	10999.291	178.427640	8.692983	1982-1999 –> 2000-2009	3.140978	1.7606629	20485.909	363.022597	21	26
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3155	1.2836015	10540.919	3.725091	7.759561	1982-1999 –> 2000-2009	3.146323	1.8627220	20296.545	7.907514	12	29
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3155	1.3780452	10990.904	23.218863	7.759053	1982-1999 –> 2000-2009	3.218109	1.8400635	20690.103	43.641475	15	25
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3155	1.3787472	10994.118	9.656720	7.757587	1982-1999 –> 2000-2009	3.219402	1.8406550	20694.851	23.359985	17	29
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3155	1.3790580	10995.540	9.661478	7.753683	1982-1999 –> 2000-2009	3.219554	1.8404958	20695.860	23.383102	18	29
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	4117	1.0974556	12463.256	257.371249	17.628081	2000-2009 –> 2010-2019	2.007377	0.9099218	20835.115	450.503680	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	4117	1.0997523	12480.470	257.331643	17.628892	2000-2009 –> 2010-2019	2.012221	0.9124683	20869.964	450.426559	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4117	1.1038153	12510.834	256.997645	17.648790	2000-2009 –> 2010-2019	2.020998	0.9171826	20932.845	449.757128	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4117	1.1346320	12737.563	250.739940	18.297955	2000-2009 –> 2010-2019	2.060285	0.9256526	21217.578	440.004493	4	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4117	1.1346909	12735.990	250.509661	18.326256	2000-2009 –> 2010-2019	2.061549	0.9268585	21222.221	439.546471	5	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate_star	4117	1.1382025	12763.434	247.860073	18.387766	2000-2009 –> 2010-2019	2.063811	0.9256079	21243.144	435.233225	6	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + phosphate_star	4117	1.1383063	12762.184	247.550473	18.425450	2000-2009 –> 2010-2019	2.065755	0.9274484	21252.429	434.821528	7	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	4117	1.1406449	12781.084	247.436474	18.428526	2000-2009 –> 2010-2019	2.066682	0.9260371	21263.719	434.624506	8	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ oxygen + aou + nitrate + phosphate_star	4117	1.1407946	12780.164	247.107209	18.473916	2000-2009 –> 2010-2019	2.069049	0.9282548	21275.893	434.204250	9	18
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4117	1.3747816	14318.380	14.270072	21.437303	2000-2009 –> 2010-2019	2.654602	1.2798207	24842.686	25.445789	10	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	616	0.6253863	1183.849	34.295669	1.761189	1982-1999 –> 2000-2009	1.385367	0.7599804	2683.379	54.196602	1	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	616	0.7033788	1328.641	9.258994	4.449517	1982-1999 –> 2000-2009	1.426452	0.7230728	2763.553	15.288107	8	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	616	0.7029188	1327.835	6.172846	4.442290	1982-1999 –> 2000-2009	1.426588	0.7236696	2763.818	10.146811	7	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	616	0.7027218	1327.490	51.339648	4.438888	1982-1999 –> 2000-2009	1.426624	0.7239020	2763.889	78.957026	6	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	616	0.7239083	1364.085	13.072240	4.687588	1982-1999 –> 2000-2009	1.461075	0.7371663	2824.052	21.285477	11	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	616	0.7234099	1363.236	8.130248	4.679927	1982-1999 –> 2000-2009	1.461108	0.7376977	2824.139	13.545469	10	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	616	0.7232848	1363.023	50.099796	4.677655	1982-1999 –> 2000-2009	1.461113	0.7378279	2824.155	77.945970	9	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	616	0.6499902	1231.389	367.797364	1.701162	1982-1999 –> 2000-2009	1.489167	0.8391768	2859.588	706.932291	3	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	616	0.6500217	1231.449	368.354498	1.701609	1982-1999 –> 2000-2009	1.489858	0.8398359	2860.667	709.646859	4	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	616	0.6490480	1229.602	367.622516	1.697769	1982-1999 –> 2000-2009	1.490084	0.8410364	2860.674	706.914700	2	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1121	0.5351685	1793.621	7.219349	3.777172	2000-2009 –> 2010-2019	1.160555	0.6253863	2977.470	41.515017	4	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	1121	0.5323718	1781.874	846.509232	4.834411	2000-2009 –> 2010-2019	1.181420	0.6490480	3011.476	1214.131748	1	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate_star	1121	0.5327580	1783.500	846.220348	4.841931	2000-2009 –> 2010-2019	1.182748	0.6499902	3014.889	1214.017711	2	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1121	0.5331575	1785.180	848.710436	4.838459	2000-2009 –> 2010-2019	1.183179	0.6500217	3016.629	1217.064934	3	7
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1121	0.5860735	1995.337	7.218307	3.259561	2000-2009 –> 2010-2019	1.236387	0.6503139	3225.339	36.570323	5	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1121	0.6154765	2107.086	68.866035	3.996841	2000-2009 –> 2010-2019	1.318198	0.7027218	3434.576	120.205683	8	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1121	0.6154572	2107.016	4.378786	4.000121	2000-2009 –> 2010-2019	1.318376	0.7029188	3434.851	10.551631	7	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1121	0.6154250	2106.899	6.088141	4.006015	2000-2009 –> 2010-2019	1.318804	0.7033788	3435.540	15.347136	6	14
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1121	0.6343162	2174.684	82.264581	4.030955	2000-2009 –> 2010-2019	1.357601	0.7232848	3537.708	132.364377	11	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1121	0.6343122	2174.670	8.389972	4.033440	2000-2009 –> 2010-2019	1.357722	0.7234099	3537.907	16.520220	10	20

5.4.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	9.085540	4394.842
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	10.113591	4882.402
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	13.079117	3996.095
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	11.335206	4230.594
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	10.228729	3530.302
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	11.082539	3135.349
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	10.593701	7375.863
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	10.928669	6460.693
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	9.120051	12658.531
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	10.083472	11691.790
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.434357	23772.777
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.720718	23429.145
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	9.025334	38228.547
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	10.994452	41865.142
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	7.332326	14431.569
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	9.423900	17549.097
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.733945	30325.470
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.873820	38799.181
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.335052	45594.113
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.898496	47134.627
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.269693	10443.294
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.465551	12347.691
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.834791	10023.012
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.495598	12947.252
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	8.519958	7085.914
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.207887	9385.875
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	4.812268	10187.068
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	4.694134	12458.752
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	17.722312	45462.173
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	17.908818	66018.628
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	11.651391	32718.686
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	13.794948	35943.659
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	9.559380	27300.679
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	11.058417	32016.682
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	9.327500	34750.103
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	9.422425	42132.176
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	7.954769	51413.478
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	7.314208	63138.277
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.957454	67026.836
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.928623	78342.318
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.436239	59471.344
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.707450	79173.824
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.656712	20707.422
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	3.800359	27523.699
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.783435	24464.974
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	2.939659	30189.894
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.863749	38499.496
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.237106	48602.724
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.411123	19385.863
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.669558	27215.094
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.689421	36816.181
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.720972	47491.222
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	3.013189	19690.077
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	2.108233	21495.559
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.451743	2802.791
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.261499	3262.638

5.5 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best_target <- full_join(
  lm_best %>% select(basin, gamma_slab, model, eras),
  eras_era)

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.6 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # loop across all basins, era, gamma slabs, and MLRs
  # fit all MLR models
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[2]
      print(i_basin)
      print(i_era)
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin, era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
        print(i_gamma_slab)
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        lm_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
             # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
            
            # plot model diagnostics vs predictors
            
            p_model_predictors <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model_predictors,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_predictors)
            
            
            # plot model diagnostics vs location
            
            GLODAP_basin_era_slab <- GLODAP_basin_era_slab %>%
              mutate(fitted = i_lm_fit$fitted.values,
                     residuals = i_lm_fit$residuals)
            
            GLODAP_basin_era_slab_long <- GLODAP_basin_era_slab %>% 
              pivot_longer(cols = c(params_local$MLR_target , fitted, residuals),
                           names_to = "estimate",
                           values_to = "value"
              ) %>% 
              pivot_longer(cols = c(lat, lon, depth),
                           names_to = "coordinate_type",
                           values_to = "coordinate_value"
              )

             p_model_coordinate <- GLODAP_basin_era_slab_long %>%
              ggplot(aes(coordinate_value, value)) +
              geom_bin2d() +
              scale_fill_viridis_c() +
              labs(
                title = paste(
                  "era:",
                  i_era,
                  "| eras:",
                  i_eras,
                  "| basin:",
                  i_basin,
                  "| gamma slab:",
                  i_gamma_slab,
                  "| predictors:",
                  i_predictors
                )
              ) +
              facet_grid(estimate~coordinate_type,
                         scales = "free")

            ggsave(
              plot = p_model_coordinate,
              path = paste(path_version_figures, "eMLR_diagnostics", sep = ""),
              filename = paste(
                "Location_MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_coordinate)
            
          }
          
        }
        
      }
    }
  }
  
  rm(
    lm_best_plot,
    lm_best_basin_era_slab,
    i_rmse,
    GLODAP_basin_era,
    GLODAP_basin_era_slab,
    i_lm,
    lm_all_fitted,
    i_basin,
    i_era,
    i_gamma_slab,
    i_predictors,
    lm_all,
    i_aic,
    i_n_predictors,
    i_resid_max
  )
  
}

Individual residual plots of the MLR models for each basin, era, eras and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/eMLR_diagnostics/

5.7 Cant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of Cant.

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

# subtract coefficients of adjacent era
lm_best_long <- lm_best_long %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot back to wide format
lm_best_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

5.8 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

lm_best %>%
  write_csv(paste(path_version_data,
                  "lm_best.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

6.1.1 All models

if (params_local$MLR_criterion != "rank") {
lm_all_fitted_wide %>%
  ggplot(aes(as.factor(n_predictors),
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = 10) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  labs(x="Number of predictors")
}

6.1.2 Best models

if (params_local$MLR_criterion != "rank") {
lm_best_target %>%
  ggplot(aes("",
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = 10) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  labs(x="Number of predictors pooled")
}

6.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjacent eras (ie check whether the same predictor combination performs equal in both eras).

6.2.1 All models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_all_fitted_wide_eras$rmse,
        lm_all_fitted_wide_eras$rmse_sum - lm_all_fitted_wide_eras$rmse))

lm_all_fitted_wide_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
e51cfa2	Donghe-Zhu	2021-08-01
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
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cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
e51cfa2	Donghe-Zhu	2021-08-01
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_long %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n,
              names_from = term,
              values_fill = 0)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )

	aou	nitrate	oxygen	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	9	10	4	10	4	5	4
(26,26.5]	6	8	6	7	7	10	6
(26.5,26.75]	5	8	5	6	8	10	6
(26.75,27]	6	9	4	5	6	10	7
(27,27.25]	6	10	5	6	4	6	9
(27.25,27.5]	7	10	5	4	4	10	6
(27.5,27.75]	8	10	5	4	5	10	5
(27.75,27.85]	9	10	5	9	4	6	4
(27.85,27.95]	8	10	6	8	5	5	6
(27.95,28.05]	5	4	5	8	10	6	8
(28.05,28.1]	6	4	6	7	7	10	7
(28.1,28.15]	7	6	6	5	10	7	6
(28.15,28.2]	6	8	5	4	6	10	7
(28.2, Inf]	6	7	4	6	10	9	6
total	94.00	114.00	71.00	89.00	90.00	114.00	87.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	10	10	3	10	4	4	3
(26,26.5]	6	9	7	6	6	10	5
(26.5,26.75]	7	10	5	5	5	10	5
(26.75,27]	5	10	5	4	6	10	6
(27,27.25]	6	10	5	6	4	6	9
(27.25,27.5]	7	10	5	4	4	10	6
(27.5,27.75]	7	10	6	5	5	10	5
(27.75,27.85]	8	10	5	5	4	10	5
(27.85,27.95]	8	10	6	5	5	8	6
(27.95,28.05]	4	2	4	10	10	5	8
(28.05,28.1]	6	5	7	9	7	6	5
(28.1,28.15]	9	5	6	6	8	6	4
(28.15,28.2]	5	5	6	6	7	10	8
(28.2, Inf]	5	7	4	6	10	9	7
total	93.00	113.00	74.00	87.00	85.00	114.00	82.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	8	6	5	10	5	8
(26,26.5]	7	10	6	4	4	10	6
(26.5,26.75]	5	10	7	6	4	10	4
(26.75,27]	4	10	7	6	5	10	4
(27,27.25]	5	9	6	10	5	9	4
(27.25,27.5]	6	10	7	10	6	5	4
(27.5,27.75]	8	10	5	9	6	6	4
(27.75,27.85]	7	9	7	4	10	4	6
(27.85,27.95]	7	9	7	4	10	4	6
(27.95,28.05]	5	6	5	4	10	6	10
(28.05,28.1]	6	5	4	6	10	5	10
(28.1,28.2]	5	5	3	10	10	5	8
(28.2,28.3]	4	7	6	10	10	5	6
(28.3, Inf]	6	7	6	7	10	7	7
total	81.00	115.00	82.00	95.00	110.00	91.00	87.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	8	6	5	10	5	7
(26,26.5]	7	10	6	4	4	10	6
(26.5,26.75]	6	10	6	6	5	10	5
(26.75,27]	5	10	7	6	4	10	4
(27,27.25]	5	10	5	10	4	9	4
(27.25,27.5]	6	10	6	10	7	5	4
(27.5,27.75]	8	10	7	5	7	6	5
(27.75,27.85]	7	10	7	4	9	4	6
(27.85,27.95]	7	10	7	4	9	4	6
(27.95,28.05]	6	8	5	6	8	6	9
(28.05,28.1]	6	5	4	6	10	5	10
(28.1,28.2]	5	5	4	10	10	6	7
(28.2,28.3]	6	10	6	10	4	4	7
(28.3, Inf]	6	7	5	8	10	6	7
total	87.00	123.00	81.00	94.00	101.00	90.00	87.00

6.4 RMSE alternatives

AIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

lm_all_fitted_wide_eras %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
e51cfa2	Donghe-Zhu	2021-08-01
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
e51cfa2	Donghe-Zhu	2021-08-01
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0      
[13] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[17] stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4      readr_1.4.0     
[21] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[25] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               MASS_7.3-53             
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              tweenr_1.0.2            
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[76] openxlsx_4.2.3           xfun_0.20                RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1